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Finding the Fourth Proportional to 1,087.80, 1,631.70 and 594.12

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Solution

The fourth proportional to 1,087.80, 1,631.70 and 594.12 is: 891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.80 : 1,631.70 = 594.12 : x
  2. Step 2: Convert to fraction form
    1,087.80/1,631.70 = 594.12/x
  3. Step 3: Cross multiply
    1,087.80x = 1,631.70 × 594.12
  4. Step 4: Simplify right side
    1,087.80x = 969,425.60
  5. Step 5: Solve for x
    x = 969,425.60/1,087.80
  6. Step 6: Final answer
    x = 891.18

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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.