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Finding the Fourth Proportional to 687.41, 1,028.85 and 592.37

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Solution

The fourth proportional to 687.41, 1,028.85 and 592.37 is: 886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.41 : 1,028.85 = 592.37 : x
  2. Step 2: Convert to fraction form
    687.41/1,028.85 = 592.37/x
  3. Step 3: Cross multiply
    687.41x = 1,028.85 × 592.37
  4. Step 4: Simplify right side
    687.41x = 609,459.87
  5. Step 5: Solve for x
    x = 609,459.87/687.41
  6. Step 6: Final answer
    x = 886.60

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