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Finding the Fourth Proportional to 826.24, 1,139.76 and 476.80

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Solution

The fourth proportional to 826.24, 1,139.76 and 476.80 is: 657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.24 : 1,139.76 = 476.80 : x
  2. Step 2: Convert to fraction form
    826.24/1,139.76 = 476.80/x
  3. Step 3: Cross multiply
    826.24x = 1,139.76 × 476.80
  4. Step 4: Simplify right side
    826.24x = 543,437.57
  5. Step 5: Solve for x
    x = 543,437.57/826.24
  6. Step 6: Final answer
    x = 657.72

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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.