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Finding the Fourth Proportional to 747.85, 1,031.98 and 416.26

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Solution

The fourth proportional to 747.85, 1,031.98 and 416.26 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.85 : 1,031.98 = 416.26 : x
  2. Step 2: Convert to fraction form
    747.85/1,031.98 = 416.26/x
  3. Step 3: Cross multiply
    747.85x = 1,031.98 × 416.26
  4. Step 4: Simplify right side
    747.85x = 429,571.99
  5. Step 5: Solve for x
    x = 429,571.99/747.85
  6. Step 6: Final answer
    x = 574.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.