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Finding the Fourth Proportional to 688.70, 1,028.43 and 597.62

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Solution

The fourth proportional to 688.70, 1,028.43 and 597.62 is: 892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.70 : 1,028.43 = 597.62 : x
  2. Step 2: Convert to fraction form
    688.70/1,028.43 = 597.62/x
  3. Step 3: Cross multiply
    688.70x = 1,028.43 × 597.62
  4. Step 4: Simplify right side
    688.70x = 614,607.35
  5. Step 5: Solve for x
    x = 614,607.35/688.70
  6. Step 6: Final answer
    x = 892.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.