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Finding the Fourth Proportional to 738.62, 1,019.31 and 477.09

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Solution

The fourth proportional to 738.62, 1,019.31 and 477.09 is: 658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.62 : 1,019.31 = 477.09 : x
  2. Step 2: Convert to fraction form
    738.62/1,019.31 = 477.09/x
  3. Step 3: Cross multiply
    738.62x = 1,019.31 × 477.09
  4. Step 4: Simplify right side
    738.62x = 486,298.95
  5. Step 5: Solve for x
    x = 486,298.95/738.62
  6. Step 6: Final answer
    x = 658.39

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.