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Finding the Fourth Proportional to 1,569, 2,353.26 and 644.61

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Solution

The fourth proportional to 1,569, 2,353.26 and 644.61 is: 966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 2,353.26 = 644.61 : x
  2. Step 2: Convert to fraction form
    1,569/2,353.26 = 644.61/x
  3. Step 3: Cross multiply
    1,569x = 2,353.26 × 644.61
  4. Step 4: Simplify right side
    1,569x = 1,516,934.93
  5. Step 5: Solve for x
    x = 1,516,934.93/1,569
  6. Step 6: Final answer
    x = 966.82

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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.