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Finding the Fourth Proportional to 1,187.86, 1,639.27 and 663.89

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Solution

The fourth proportional to 1,187.86, 1,639.27 and 663.89 is: 916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.86 : 1,639.27 = 663.89 : x
  2. Step 2: Convert to fraction form
    1,187.86/1,639.27 = 663.89/x
  3. Step 3: Cross multiply
    1,187.86x = 1,639.27 × 663.89
  4. Step 4: Simplify right side
    1,187.86x = 1,088,294.96
  5. Step 5: Solve for x
    x = 1,088,294.96/1,187.86
  6. Step 6: Final answer
    x = 916.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.