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Finding the Fourth Proportional to 826.70, 1,140.93 and 477.38

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Solution

The fourth proportional to 826.70, 1,140.93 and 477.38 is: 658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.70 : 1,140.93 = 477.38 : x
  2. Step 2: Convert to fraction form
    826.70/1,140.93 = 477.38/x
  3. Step 3: Cross multiply
    826.70x = 1,140.93 × 477.38
  4. Step 4: Simplify right side
    826.70x = 544,651.46
  5. Step 5: Solve for x
    x = 544,651.46/826.70
  6. Step 6: Final answer
    x = 658.83

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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.