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Finding the Fourth Proportional to 825.72, 1,139.22 and 476.52

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Solution

The fourth proportional to 825.72, 1,139.22 and 476.52 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.72 : 1,139.22 = 476.52 : x
  2. Step 2: Convert to fraction form
    825.72/1,139.22 = 476.52/x
  3. Step 3: Cross multiply
    825.72x = 1,139.22 × 476.52
  4. Step 4: Simplify right side
    825.72x = 542,861.11
  5. Step 5: Solve for x
    x = 542,861.11/825.72
  6. Step 6: Final answer
    x = 657.44

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Double scale
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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.