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Finding the Fourth Proportional to 1,354.82, 1,869.72 and 787.82

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Solution

The fourth proportional to 1,354.82, 1,869.72 and 787.82 is: 1,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.82 : 1,869.72 = 787.82 : x
  2. Step 2: Convert to fraction form
    1,354.82/1,869.72 = 787.82/x
  3. Step 3: Cross multiply
    1,354.82x = 1,869.72 × 787.82
  4. Step 4: Simplify right side
    1,354.82x = 1,473,002.81
  5. Step 5: Solve for x
    x = 1,473,002.81/1,354.82
  6. Step 6: Final answer
    x = 1,087.23

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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.