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Finding the Fourth Proportional to 1,452.74, 2,005.16 and 863.16

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Solution

The fourth proportional to 1,452.74, 2,005.16 and 863.16 is: 1,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.74 : 2,005.16 = 863.16 : x
  2. Step 2: Convert to fraction form
    1,452.74/2,005.16 = 863.16/x
  3. Step 3: Cross multiply
    1,452.74x = 2,005.16 × 863.16
  4. Step 4: Simplify right side
    1,452.74x = 1,730,762.07
  5. Step 5: Solve for x
    x = 1,730,762.07/1,452.74
  6. Step 6: Final answer
    x = 1,191.38

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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.