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Finding the Fourth Proportional to 1,415.20, 1,952.96 and 863.20

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Solution

The fourth proportional to 1,415.20, 1,952.96 and 863.20 is: 1,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.20 : 1,952.96 = 863.20 : x
  2. Step 2: Convert to fraction form
    1,415.20/1,952.96 = 863.20/x
  3. Step 3: Cross multiply
    1,415.20x = 1,952.96 × 863.20
  4. Step 4: Simplify right side
    1,415.20x = 1,685,795.07
  5. Step 5: Solve for x
    x = 1,685,795.07/1,415.20
  6. Step 6: Final answer
    x = 1,191.21

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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.