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Finding the Fourth Proportional to 1,087.85, 1,630.32 and 592.98

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Solution

The fourth proportional to 1,087.85, 1,630.32 and 592.98 is: 888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.85 : 1,630.32 = 592.98 : x
  2. Step 2: Convert to fraction form
    1,087.85/1,630.32 = 592.98/x
  3. Step 3: Cross multiply
    1,087.85x = 1,630.32 × 592.98
  4. Step 4: Simplify right side
    1,087.85x = 966,747.15
  5. Step 5: Solve for x
    x = 966,747.15/1,087.85
  6. Step 6: Final answer
    x = 888.68

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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.