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Finding the Fourth Proportional to 1,565.89, 2,348.76 and 641.14

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Solution

The fourth proportional to 1,565.89, 2,348.76 and 641.14 is: 961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.89 : 2,348.76 = 641.14 : x
  2. Step 2: Convert to fraction form
    1,565.89/2,348.76 = 641.14/x
  3. Step 3: Cross multiply
    1,565.89x = 2,348.76 × 641.14
  4. Step 4: Simplify right side
    1,565.89x = 1,505,883.99
  5. Step 5: Solve for x
    x = 1,505,883.99/1,565.89
  6. Step 6: Final answer
    x = 961.68

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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.