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Finding the Fourth Proportional to 1,347.53, 1,859.61 and 787.91

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Solution

The fourth proportional to 1,347.53, 1,859.61 and 787.91 is: 1,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.53 : 1,859.61 = 787.91 : x
  2. Step 2: Convert to fraction form
    1,347.53/1,859.61 = 787.91/x
  3. Step 3: Cross multiply
    1,347.53x = 1,859.61 × 787.91
  4. Step 4: Simplify right side
    1,347.53x = 1,465,196.02
  5. Step 5: Solve for x
    x = 1,465,196.02/1,347.53
  6. Step 6: Final answer
    x = 1,087.32

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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.