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Finding the Fourth Proportional to 826.06, 1,140.06 and 476.86

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Solution

The fourth proportional to 826.06, 1,140.06 and 476.86 is: 658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.06 : 1,140.06 = 476.86 : x
  2. Step 2: Convert to fraction form
    826.06/1,140.06 = 476.86/x
  3. Step 3: Cross multiply
    826.06x = 1,140.06 × 476.86
  4. Step 4: Simplify right side
    826.06x = 543,649.01
  5. Step 5: Solve for x
    x = 543,649.01/826.06
  6. Step 6: Final answer
    x = 658.12

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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.