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Finding the Fourth Proportional to 826.61, 1,140.74 and 453.59

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Solution

The fourth proportional to 826.61, 1,140.74 and 453.59 is: 625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.74 = 453.59 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.74 = 453.59/x
  3. Step 3: Cross multiply
    826.61x = 1,140.74 × 453.59
  4. Step 4: Simplify right side
    826.61x = 517,425.99
  5. Step 5: Solve for x
    x = 517,425.99/826.61
  6. Step 6: Final answer
    x = 625.96

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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.