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Finding the Fourth Proportional to 747.66, 1,031.70 and 416.10

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Solution

The fourth proportional to 747.66, 1,031.70 and 416.10 is: 574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.66 : 1,031.70 = 416.10 : x
  2. Step 2: Convert to fraction form
    747.66/1,031.70 = 416.10/x
  3. Step 3: Cross multiply
    747.66x = 1,031.70 × 416.10
  4. Step 4: Simplify right side
    747.66x = 429,290.37
  5. Step 5: Solve for x
    x = 429,290.37/747.66
  6. Step 6: Final answer
    x = 574.18

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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.