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Finding the Fourth Proportional to 760.20, 1,049.10 and 494.76

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Solution

The fourth proportional to 760.20, 1,049.10 and 494.76 is: 682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,049.10 = 494.76 : x
  2. Step 2: Convert to fraction form
    760.20/1,049.10 = 494.76/x
  3. Step 3: Cross multiply
    760.20x = 1,049.10 × 494.76
  4. Step 4: Simplify right side
    760.20x = 519,052.72
  5. Step 5: Solve for x
    x = 519,052.72/760.20
  6. Step 6: Final answer
    x = 682.78

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Double scale
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1.5x scale

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.