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Finding the Fourth Proportional to 761.34, 1,050.80 and 636.78

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Solution

The fourth proportional to 761.34, 1,050.80 and 636.78 is: 878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.34 : 1,050.80 = 636.78 : x
  2. Step 2: Convert to fraction form
    761.34/1,050.80 = 636.78/x
  3. Step 3: Cross multiply
    761.34x = 1,050.80 × 636.78
  4. Step 4: Simplify right side
    761.34x = 669,125.24
  5. Step 5: Solve for x
    x = 669,125.24/761.34
  6. Step 6: Final answer
    x = 878.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.