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Finding the Fourth Proportional to 760.96, 1,132.24 and 758.44

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Solution

The fourth proportional to 760.96, 1,132.24 and 758.44 is: 1,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.96 : 1,132.24 = 758.44 : x
  2. Step 2: Convert to fraction form
    760.96/1,132.24 = 758.44/x
  3. Step 3: Cross multiply
    760.96x = 1,132.24 × 758.44
  4. Step 4: Simplify right side
    760.96x = 858,736.11
  5. Step 5: Solve for x
    x = 858,736.11/760.96
  6. Step 6: Final answer
    x = 1,128.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.