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Finding the Fourth Proportional to 713.52, 985.68 and 557.52

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Solution

The fourth proportional to 713.52, 985.68 and 557.52 is: 770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 985.68 = 557.52 : x
  2. Step 2: Convert to fraction form
    713.52/985.68 = 557.52/x
  3. Step 3: Cross multiply
    713.52x = 985.68 × 557.52
  4. Step 4: Simplify right side
    713.52x = 549,536.31
  5. Step 5: Solve for x
    x = 549,536.31/713.52
  6. Step 6: Final answer
    x = 770.18

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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.