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Finding the Fourth Proportional to 747.90, 1,032.12 and 416.34

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Solution

The fourth proportional to 747.90, 1,032.12 and 416.34 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.90 : 1,032.12 = 416.34 : x
  2. Step 2: Convert to fraction form
    747.90/1,032.12 = 416.34/x
  3. Step 3: Cross multiply
    747.90x = 1,032.12 × 416.34
  4. Step 4: Simplify right side
    747.90x = 429,712.84
  5. Step 5: Solve for x
    x = 429,712.84/747.90
  6. Step 6: Final answer
    x = 574.56

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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.