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Finding the Fourth Proportional to 924.94, 1,386.68 and 462.49

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Solution

The fourth proportional to 924.94, 1,386.68 and 462.49 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.94 : 1,386.68 = 462.49 : x
  2. Step 2: Convert to fraction form
    924.94/1,386.68 = 462.49/x
  3. Step 3: Cross multiply
    924.94x = 1,386.68 × 462.49
  4. Step 4: Simplify right side
    924.94x = 641,319.85
  5. Step 5: Solve for x
    x = 641,319.85/924.94
  6. Step 6: Final answer
    x = 693.36

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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.