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Finding the Fourth Proportional to 1,569.86, 2,355.47 and 748.14

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Solution

The fourth proportional to 1,569.86, 2,355.47 and 748.14 is: 1,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.86 : 2,355.47 = 748.14 : x
  2. Step 2: Convert to fraction form
    1,569.86/2,355.47 = 748.14/x
  3. Step 3: Cross multiply
    1,569.86x = 2,355.47 × 748.14
  4. Step 4: Simplify right side
    1,569.86x = 1,762,221.33
  5. Step 5: Solve for x
    x = 1,762,221.33/1,569.86
  6. Step 6: Final answer
    x = 1,122.53

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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.