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Finding the Fourth Proportional to 1,460.52, 2,015.46 and 863.40

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Solution

The fourth proportional to 1,460.52, 2,015.46 and 863.40 is: 1,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.52 : 2,015.46 = 863.40 : x
  2. Step 2: Convert to fraction form
    1,460.52/2,015.46 = 863.40/x
  3. Step 3: Cross multiply
    1,460.52x = 2,015.46 × 863.40
  4. Step 4: Simplify right side
    1,460.52x = 1,740,148.16
  5. Step 5: Solve for x
    x = 1,740,148.16/1,460.52
  6. Step 6: Final answer
    x = 1,191.46

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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.