Home / 1,411.38-2,117.68-762.57

Finding the Fourth Proportional to 1,411.38, 2,117.68 and 762.57

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Solution

The fourth proportional to 1,411.38, 2,117.68 and 762.57 is: 1,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.38 : 2,117.68 = 762.57 : x
  2. Step 2: Convert to fraction form
    1,411.38/2,117.68 = 762.57/x
  3. Step 3: Cross multiply
    1,411.38x = 2,117.68 × 762.57
  4. Step 4: Simplify right side
    1,411.38x = 1,614,877.33
  5. Step 5: Solve for x
    x = 1,614,877.33/1,411.38
  6. Step 6: Final answer
    x = 1,144.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.