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Finding the Fourth Proportional to 747.94, 1,032.14 and 416.39

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Solution

The fourth proportional to 747.94, 1,032.14 and 416.39 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.94 : 1,032.14 = 416.39 : x
  2. Step 2: Convert to fraction form
    747.94/1,032.14 = 416.39/x
  3. Step 3: Cross multiply
    747.94x = 1,032.14 × 416.39
  4. Step 4: Simplify right side
    747.94x = 429,776.40
  5. Step 5: Solve for x
    x = 429,776.40/747.94
  6. Step 6: Final answer
    x = 574.62

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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.