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Finding the Fourth Proportional to 761.18, 1,141.71 and 437.28

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Solution

The fourth proportional to 761.18, 1,141.71 and 437.28 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.18 : 1,141.71 = 437.28 : x
  2. Step 2: Convert to fraction form
    761.18/1,141.71 = 437.28/x
  3. Step 3: Cross multiply
    761.18x = 1,141.71 × 437.28
  4. Step 4: Simplify right side
    761.18x = 499,246.95
  5. Step 5: Solve for x
    x = 499,246.95/761.18
  6. Step 6: Final answer
    x = 655.89

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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.