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Finding the Fourth Proportional to 826.46, 1,140.18 and 564.02

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Solution

The fourth proportional to 826.46, 1,140.18 and 564.02 is: 778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.46 : 1,140.18 = 564.02 : x
  2. Step 2: Convert to fraction form
    826.46/1,140.18 = 564.02/x
  3. Step 3: Cross multiply
    826.46x = 1,140.18 × 564.02
  4. Step 4: Simplify right side
    826.46x = 643,084.32
  5. Step 5: Solve for x
    x = 643,084.32/826.46
  6. Step 6: Final answer
    x = 778.12

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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.