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Finding the Fourth Proportional to 1,283.04, 1,924.57 and 460.73

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Solution

The fourth proportional to 1,283.04, 1,924.57 and 460.73 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.04 : 1,924.57 = 460.73 : x
  2. Step 2: Convert to fraction form
    1,283.04/1,924.57 = 460.73/x
  3. Step 3: Cross multiply
    1,283.04x = 1,924.57 × 460.73
  4. Step 4: Simplify right side
    1,283.04x = 886,697.70
  5. Step 5: Solve for x
    x = 886,697.70/1,283.04
  6. Step 6: Final answer
    x = 691.09

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.