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Finding the Fourth Proportional to 1,168.48, 1,612.00 and 748.69

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Solution

The fourth proportional to 1,168.48, 1,612.00 and 748.69 is: 1,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.48 : 1,612.00 = 748.69 : x
  2. Step 2: Convert to fraction form
    1,168.48/1,612.00 = 748.69/x
  3. Step 3: Cross multiply
    1,168.48x = 1,612.00 × 748.69
  4. Step 4: Simplify right side
    1,168.48x = 1,206,894.25
  5. Step 5: Solve for x
    x = 1,206,894.25/1,168.48
  6. Step 6: Final answer
    x = 1,032.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.