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Finding the Fourth Proportional to 1,159.32, 1,737.90 and 611.04

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Solution

The fourth proportional to 1,159.32, 1,737.90 and 611.04 is: 915.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.32 : 1,737.90 = 611.04 : x
  2. Step 2: Convert to fraction form
    1,159.32/1,737.90 = 611.04/x
  3. Step 3: Cross multiply
    1,159.32x = 1,737.90 × 611.04
  4. Step 4: Simplify right side
    1,159.32x = 1,061,926.42
  5. Step 5: Solve for x
    x = 1,061,926.42/1,159.32
  6. Step 6: Final answer
    x = 915.99

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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.