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Finding the Fourth Proportional to 1,223.62, 1,835.70 and 574

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Solution

The fourth proportional to 1,223.62, 1,835.70 and 574 is: 861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.62 : 1,835.70 = 574 : x
  2. Step 2: Convert to fraction form
    1,223.62/1,835.70 = 574/x
  3. Step 3: Cross multiply
    1,223.62x = 1,835.70 × 574
  4. Step 4: Simplify right side
    1,223.62x = 1,053,691.80
  5. Step 5: Solve for x
    x = 1,053,691.80/1,223.62
  6. Step 6: Final answer
    x = 861.13

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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.