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Finding the Fourth Proportional to 760.43, 1,049.13 and 494.75

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Solution

The fourth proportional to 760.43, 1,049.13 and 494.75 is: 682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.43 : 1,049.13 = 494.75 : x
  2. Step 2: Convert to fraction form
    760.43/1,049.13 = 494.75/x
  3. Step 3: Cross multiply
    760.43x = 1,049.13 × 494.75
  4. Step 4: Simplify right side
    760.43x = 519,051.82
  5. Step 5: Solve for x
    x = 519,051.82/760.43
  6. Step 6: Final answer
    x = 682.58

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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.