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Finding the Fourth Proportional to 826.61, 1,140.78 and 472.54

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Solution

The fourth proportional to 826.61, 1,140.78 and 472.54 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.78 = 472.54 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.78 = 472.54/x
  3. Step 3: Cross multiply
    826.61x = 1,140.78 × 472.54
  4. Step 4: Simplify right side
    826.61x = 539,063.21
  5. Step 5: Solve for x
    x = 539,063.21/826.61
  6. Step 6: Final answer
    x = 652.14

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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.