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Finding the Fourth Proportional to 761.68, 1,141.30 and 437.28

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Solution

The fourth proportional to 761.68, 1,141.30 and 437.28 is: 655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.68 : 1,141.30 = 437.28 : x
  2. Step 2: Convert to fraction form
    761.68/1,141.30 = 437.28/x
  3. Step 3: Cross multiply
    761.68x = 1,141.30 × 437.28
  4. Step 4: Simplify right side
    761.68x = 499,067.66
  5. Step 5: Solve for x
    x = 499,067.66/761.68
  6. Step 6: Final answer
    x = 655.22

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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.