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Finding the Fourth Proportional to 688.07, 1,034.27 and 597.89

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Solution

The fourth proportional to 688.07, 1,034.27 and 597.89 is: 898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.07 : 1,034.27 = 597.89 : x
  2. Step 2: Convert to fraction form
    688.07/1,034.27 = 597.89/x
  3. Step 3: Cross multiply
    688.07x = 1,034.27 × 597.89
  4. Step 4: Simplify right side
    688.07x = 618,371.53
  5. Step 5: Solve for x
    x = 618,371.53/688.07
  6. Step 6: Final answer
    x = 898.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.