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Finding the Fourth Proportional to 1,159.01, 1,737.15 and 610.91

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Solution

The fourth proportional to 1,159.01, 1,737.15 and 610.91 is: 915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.01 : 1,737.15 = 610.91 : x
  2. Step 2: Convert to fraction form
    1,159.01/1,737.15 = 610.91/x
  3. Step 3: Cross multiply
    1,159.01x = 1,737.15 × 610.91
  4. Step 4: Simplify right side
    1,159.01x = 1,061,242.31
  5. Step 5: Solve for x
    x = 1,061,242.31/1,159.01
  6. Step 6: Final answer
    x = 915.65

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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.