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Finding the Fourth Proportional to 760.52, 1,141.14 and 722.96

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Solution

The fourth proportional to 760.52, 1,141.14 and 722.96 is: 1,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.52 : 1,141.14 = 722.96 : x
  2. Step 2: Convert to fraction form
    760.52/1,141.14 = 722.96/x
  3. Step 3: Cross multiply
    760.52x = 1,141.14 × 722.96
  4. Step 4: Simplify right side
    760.52x = 824,998.57
  5. Step 5: Solve for x
    x = 824,998.57/760.52
  6. Step 6: Final answer
    x = 1,084.78

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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.