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Finding the Fourth Proportional to 760.08, 1,138.88 and 731.68

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Solution

The fourth proportional to 760.08, 1,138.88 and 731.68 is: 1,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.08 : 1,138.88 = 731.68 : x
  2. Step 2: Convert to fraction form
    760.08/1,138.88 = 731.68/x
  3. Step 3: Cross multiply
    760.08x = 1,138.88 × 731.68
  4. Step 4: Simplify right side
    760.08x = 833,295.72
  5. Step 5: Solve for x
    x = 833,295.72/760.08
  6. Step 6: Final answer
    x = 1,096.33

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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.