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Finding the Fourth Proportional to 1,157.88, 1,737.02 and 580.76

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Solution

The fourth proportional to 1,157.88, 1,737.02 and 580.76 is: 871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.88 : 1,737.02 = 580.76 : x
  2. Step 2: Convert to fraction form
    1,157.88/1,737.02 = 580.76/x
  3. Step 3: Cross multiply
    1,157.88x = 1,737.02 × 580.76
  4. Step 4: Simplify right side
    1,157.88x = 1,008,791.74
  5. Step 5: Solve for x
    x = 1,008,791.74/1,157.88
  6. Step 6: Final answer
    x = 871.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.