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Finding the Fourth Proportional to 754.83, 1,130.58 and 580.22

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Solution

The fourth proportional to 754.83, 1,130.58 and 580.22 is: 869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.83 : 1,130.58 = 580.22 : x
  2. Step 2: Convert to fraction form
    754.83/1,130.58 = 580.22/x
  3. Step 3: Cross multiply
    754.83x = 1,130.58 × 580.22
  4. Step 4: Simplify right side
    754.83x = 655,976.57
  5. Step 5: Solve for x
    x = 655,976.57/754.83
  6. Step 6: Final answer
    x = 869.04

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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.