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Finding the Fourth Proportional to 592.87, 886.98 and 523.61

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Solution

The fourth proportional to 592.87, 886.98 and 523.61 is: 783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.87 : 886.98 = 523.61 : x
  2. Step 2: Convert to fraction form
    592.87/886.98 = 523.61/x
  3. Step 3: Cross multiply
    592.87x = 886.98 × 523.61
  4. Step 4: Simplify right side
    592.87x = 464,433.02
  5. Step 5: Solve for x
    x = 464,433.02/592.87
  6. Step 6: Final answer
    x = 783.36

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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.