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Finding the Fourth Proportional to 760.66, 1,049.70 and 499.17

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Solution

The fourth proportional to 760.66, 1,049.70 and 499.17 is: 688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.66 : 1,049.70 = 499.17 : x
  2. Step 2: Convert to fraction form
    760.66/1,049.70 = 499.17/x
  3. Step 3: Cross multiply
    760.66x = 1,049.70 × 499.17
  4. Step 4: Simplify right side
    760.66x = 523,978.75
  5. Step 5: Solve for x
    x = 523,978.75/760.66
  6. Step 6: Final answer
    x = 688.85

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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.