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Finding the Fourth Proportional to 865.96, 1,195.56 and 586.24

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Solution

The fourth proportional to 865.96, 1,195.56 and 586.24 is: 809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.96 : 1,195.56 = 586.24 : x
  2. Step 2: Convert to fraction form
    865.96/1,195.56 = 586.24/x
  3. Step 3: Cross multiply
    865.96x = 1,195.56 × 586.24
  4. Step 4: Simplify right side
    865.96x = 700,885.09
  5. Step 5: Solve for x
    x = 700,885.09/865.96
  6. Step 6: Final answer
    x = 809.37

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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.