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Finding the Fourth Proportional to 761.68, 1,141.20 and 487.36

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Solution

The fourth proportional to 761.68, 1,141.20 and 487.36 is: 730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.68 : 1,141.20 = 487.36 : x
  2. Step 2: Convert to fraction form
    761.68/1,141.20 = 487.36/x
  3. Step 3: Cross multiply
    761.68x = 1,141.20 × 487.36
  4. Step 4: Simplify right side
    761.68x = 556,175.23
  5. Step 5: Solve for x
    x = 556,175.23/761.68
  6. Step 6: Final answer
    x = 730.20

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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.