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Finding the Fourth Proportional to 1,187.87, 1,780.88 and 725.87

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Solution

The fourth proportional to 1,187.87, 1,780.88 and 725.87 is: 1,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.87 : 1,780.88 = 725.87 : x
  2. Step 2: Convert to fraction form
    1,187.87/1,780.88 = 725.87/x
  3. Step 3: Cross multiply
    1,187.87x = 1,780.88 × 725.87
  4. Step 4: Simplify right side
    1,187.87x = 1,292,688.19
  5. Step 5: Solve for x
    x = 1,292,688.19/1,187.87
  6. Step 6: Final answer
    x = 1,088.25

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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.