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Finding the Fourth Proportional to 761.75, 1,141.15 and 500.96

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Solution

The fourth proportional to 761.75, 1,141.15 and 500.96 is: 750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,141.15 = 500.96 : x
  2. Step 2: Convert to fraction form
    761.75/1,141.15 = 500.96/x
  3. Step 3: Cross multiply
    761.75x = 1,141.15 × 500.96
  4. Step 4: Simplify right side
    761.75x = 571,668.00
  5. Step 5: Solve for x
    x = 571,668.00/761.75
  6. Step 6: Final answer
    x = 750.47

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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.