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Finding the Fourth Proportional to 738.78, 1,019.02 and 473.31

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Solution

The fourth proportional to 738.78, 1,019.02 and 473.31 is: 652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.78 : 1,019.02 = 473.31 : x
  2. Step 2: Convert to fraction form
    738.78/1,019.02 = 473.31/x
  3. Step 3: Cross multiply
    738.78x = 1,019.02 × 473.31
  4. Step 4: Simplify right side
    738.78x = 482,312.36
  5. Step 5: Solve for x
    x = 482,312.36/738.78
  6. Step 6: Final answer
    x = 652.85

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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.