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Finding the Fourth Proportional to 741.47, 1,024.47 and 517.10

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Solution

The fourth proportional to 741.47, 1,024.47 and 517.10 is: 714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.47 : 1,024.47 = 517.10 : x
  2. Step 2: Convert to fraction form
    741.47/1,024.47 = 517.10/x
  3. Step 3: Cross multiply
    741.47x = 1,024.47 × 517.10
  4. Step 4: Simplify right side
    741.47x = 529,748.31
  5. Step 5: Solve for x
    x = 529,748.31/741.47
  6. Step 6: Final answer
    x = 714.46

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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.