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Finding the Fourth Proportional to 1,414.75, 1,952.36 and 793.75

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Solution

The fourth proportional to 1,414.75, 1,952.36 and 793.75 is: 1,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.75 : 1,952.36 = 793.75 : x
  2. Step 2: Convert to fraction form
    1,414.75/1,952.36 = 793.75/x
  3. Step 3: Cross multiply
    1,414.75x = 1,952.36 × 793.75
  4. Step 4: Simplify right side
    1,414.75x = 1,549,685.75
  5. Step 5: Solve for x
    x = 1,549,685.75/1,414.75
  6. Step 6: Final answer
    x = 1,095.38

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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.