Home / 1,497.29-2,066.32-834.14

Finding the Fourth Proportional to 1,497.29, 2,066.32 and 834.14

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Solution

The fourth proportional to 1,497.29, 2,066.32 and 834.14 is: 1,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.29 : 2,066.32 = 834.14 : x
  2. Step 2: Convert to fraction form
    1,497.29/2,066.32 = 834.14/x
  3. Step 3: Cross multiply
    1,497.29x = 2,066.32 × 834.14
  4. Step 4: Simplify right side
    1,497.29x = 1,723,593.96
  5. Step 5: Solve for x
    x = 1,723,593.96/1,497.29
  6. Step 6: Final answer
    x = 1,151.15

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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.