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Finding the Fourth Proportional to 760.25, 1,132.68 and 749.55

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Solution

The fourth proportional to 760.25, 1,132.68 and 749.55 is: 1,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.25 : 1,132.68 = 749.55 : x
  2. Step 2: Convert to fraction form
    760.25/1,132.68 = 749.55/x
  3. Step 3: Cross multiply
    760.25x = 1,132.68 × 749.55
  4. Step 4: Simplify right side
    760.25x = 849,000.29
  5. Step 5: Solve for x
    x = 849,000.29/760.25
  6. Step 6: Final answer
    x = 1,116.74

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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.