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Finding the Fourth Proportional to 761.18, 1,049.82 and 512.34

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Solution

The fourth proportional to 761.18, 1,049.82 and 512.34 is: 706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.18 : 1,049.82 = 512.34 : x
  2. Step 2: Convert to fraction form
    761.18/1,049.82 = 512.34/x
  3. Step 3: Cross multiply
    761.18x = 1,049.82 × 512.34
  4. Step 4: Simplify right side
    761.18x = 537,864.78
  5. Step 5: Solve for x
    x = 537,864.78/761.18
  6. Step 6: Final answer
    x = 706.62

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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.