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Finding the Fourth Proportional to 760.89, 1,049.84 and 462.13

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Solution

The fourth proportional to 760.89, 1,049.84 and 462.13 is: 637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.89 : 1,049.84 = 462.13 : x
  2. Step 2: Convert to fraction form
    760.89/1,049.84 = 462.13/x
  3. Step 3: Cross multiply
    760.89x = 1,049.84 × 462.13
  4. Step 4: Simplify right side
    760.89x = 485,157.31
  5. Step 5: Solve for x
    x = 485,157.31/760.89
  6. Step 6: Final answer
    x = 637.62

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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.