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Finding the Fourth Proportional to 761.10, 1,049.79 and 613.50

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Solution

The fourth proportional to 761.10, 1,049.79 and 613.50 is: 846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.10 : 1,049.79 = 613.50 : x
  2. Step 2: Convert to fraction form
    761.10/1,049.79 = 613.50/x
  3. Step 3: Cross multiply
    761.10x = 1,049.79 × 613.50
  4. Step 4: Simplify right side
    761.10x = 644,046.17
  5. Step 5: Solve for x
    x = 644,046.17/761.10
  6. Step 6: Final answer
    x = 846.20

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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.