Home / 1,032.91-1,540.66-1,002.13

Finding the Fourth Proportional to 1,032.91, 1,540.66 and 1,002.13

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Solution

The fourth proportional to 1,032.91, 1,540.66 and 1,002.13 is: 1,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.91 : 1,540.66 = 1,002.13 : x
  2. Step 2: Convert to fraction form
    1,032.91/1,540.66 = 1,002.13/x
  3. Step 3: Cross multiply
    1,032.91x = 1,540.66 × 1,002.13
  4. Step 4: Simplify right side
    1,032.91x = 1,543,941.61
  5. Step 5: Solve for x
    x = 1,543,941.61/1,032.91
  6. Step 6: Final answer
    x = 1,494.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.