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Finding the Fourth Proportional to 767.38, 1,148.54 and 544.58

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Solution

The fourth proportional to 767.38, 1,148.54 and 544.58 is: 815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.38 : 1,148.54 = 544.58 : x
  2. Step 2: Convert to fraction form
    767.38/1,148.54 = 544.58/x
  3. Step 3: Cross multiply
    767.38x = 1,148.54 × 544.58
  4. Step 4: Simplify right side
    767.38x = 625,471.91
  5. Step 5: Solve for x
    x = 625,471.91/767.38
  6. Step 6: Final answer
    x = 815.07

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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.