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Finding the Fourth Proportional to 1,077.80, 1,616.06 and 461.18

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Solution

The fourth proportional to 1,077.80, 1,616.06 and 461.18 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.80 : 1,616.06 = 461.18 : x
  2. Step 2: Convert to fraction form
    1,077.80/1,616.06 = 461.18/x
  3. Step 3: Cross multiply
    1,077.80x = 1,616.06 × 461.18
  4. Step 4: Simplify right side
    1,077.80x = 745,299.74
  5. Step 5: Solve for x
    x = 745,299.74/1,077.80
  6. Step 6: Final answer
    x = 691.50

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Half scale
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Double scale
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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.