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Finding the Fourth Proportional to 760.24, 1,049.04 and 497.76

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Solution

The fourth proportional to 760.24, 1,049.04 and 497.76 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.24 : 1,049.04 = 497.76 : x
  2. Step 2: Convert to fraction form
    760.24/1,049.04 = 497.76/x
  3. Step 3: Cross multiply
    760.24x = 1,049.04 × 497.76
  4. Step 4: Simplify right side
    760.24x = 522,170.15
  5. Step 5: Solve for x
    x = 522,170.15/760.24
  6. Step 6: Final answer
    x = 686.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.