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Finding the Fourth Proportional to 738.92, 1,019.70 and 407.35

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Solution

The fourth proportional to 738.92, 1,019.70 and 407.35 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.92 : 1,019.70 = 407.35 : x
  2. Step 2: Convert to fraction form
    738.92/1,019.70 = 407.35/x
  3. Step 3: Cross multiply
    738.92x = 1,019.70 × 407.35
  4. Step 4: Simplify right side
    738.92x = 415,374.80
  5. Step 5: Solve for x
    x = 415,374.80/738.92
  6. Step 6: Final answer
    x = 562.14

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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.