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Finding the Fourth Proportional to 760.31, 1,049.86 and 512.45

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Solution

The fourth proportional to 760.31, 1,049.86 and 512.45 is: 707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.31 : 1,049.86 = 512.45 : x
  2. Step 2: Convert to fraction form
    760.31/1,049.86 = 512.45/x
  3. Step 3: Cross multiply
    760.31x = 1,049.86 × 512.45
  4. Step 4: Simplify right side
    760.31x = 538,000.76
  5. Step 5: Solve for x
    x = 538,000.76/760.31
  6. Step 6: Final answer
    x = 707.61

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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.