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Finding the Fourth Proportional to 825.20, 1,242.66 and 595.70

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Solution

The fourth proportional to 825.20, 1,242.66 and 595.70 is: 897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.20 : 1,242.66 = 595.70 : x
  2. Step 2: Convert to fraction form
    825.20/1,242.66 = 595.70/x
  3. Step 3: Cross multiply
    825.20x = 1,242.66 × 595.70
  4. Step 4: Simplify right side
    825.20x = 740,249.58
  5. Step 5: Solve for x
    x = 740,249.58/825.20
  6. Step 6: Final answer
    x = 897.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.