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Finding the Fourth Proportional to 782.53, 1,174.57 and 586.85

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Solution

The fourth proportional to 782.53, 1,174.57 and 586.85 is: 880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.53 : 1,174.57 = 586.85 : x
  2. Step 2: Convert to fraction form
    782.53/1,174.57 = 586.85/x
  3. Step 3: Cross multiply
    782.53x = 1,174.57 × 586.85
  4. Step 4: Simplify right side
    782.53x = 689,289.06
  5. Step 5: Solve for x
    x = 689,289.06/782.53
  6. Step 6: Final answer
    x = 880.85

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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.