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Finding the Fourth Proportional to 826.38, 1,140.12 and 494.76

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Solution

The fourth proportional to 826.38, 1,140.12 and 494.76 is: 682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.38 : 1,140.12 = 494.76 : x
  2. Step 2: Convert to fraction form
    826.38/1,140.12 = 494.76/x
  3. Step 3: Cross multiply
    826.38x = 1,140.12 × 494.76
  4. Step 4: Simplify right side
    826.38x = 564,085.77
  5. Step 5: Solve for x
    x = 564,085.77/826.38
  6. Step 6: Final answer
    x = 682.60

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1.5x scale

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.