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Finding the Fourth Proportional to 826.41, 1,140.27 and 561.06

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Solution

The fourth proportional to 826.41, 1,140.27 and 561.06 is: 774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.41 : 1,140.27 = 561.06 : x
  2. Step 2: Convert to fraction form
    826.41/1,140.27 = 561.06/x
  3. Step 3: Cross multiply
    826.41x = 1,140.27 × 561.06
  4. Step 4: Simplify right side
    826.41x = 639,754.18
  5. Step 5: Solve for x
    x = 639,754.18/826.41
  6. Step 6: Final answer
    x = 774.14

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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.