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Finding the Fourth Proportional to 761.85, 1,142.89 and 323.10

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Solution

The fourth proportional to 761.85, 1,142.89 and 323.10 is: 484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.85 : 1,142.89 = 323.10 : x
  2. Step 2: Convert to fraction form
    761.85/1,142.89 = 323.10/x
  3. Step 3: Cross multiply
    761.85x = 1,142.89 × 323.10
  4. Step 4: Simplify right side
    761.85x = 369,266.95
  5. Step 5: Solve for x
    x = 369,266.95/761.85
  6. Step 6: Final answer
    x = 484.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.