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Finding the Fourth Proportional to 825.70, 1,237.55 and 565.70

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Solution

The fourth proportional to 825.70, 1,237.55 and 565.70 is: 847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.70 : 1,237.55 = 565.70 : x
  2. Step 2: Convert to fraction form
    825.70/1,237.55 = 565.70/x
  3. Step 3: Cross multiply
    825.70x = 1,237.55 × 565.70
  4. Step 4: Simplify right side
    825.70x = 700,082.04
  5. Step 5: Solve for x
    x = 700,082.04/825.70
  6. Step 6: Final answer
    x = 847.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.