Home / 1,032.23-1,424.17-589.97

Finding the Fourth Proportional to 1,032.23, 1,424.17 and 589.97

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Solution

The fourth proportional to 1,032.23, 1,424.17 and 589.97 is: 813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.23 : 1,424.17 = 589.97 : x
  2. Step 2: Convert to fraction form
    1,032.23/1,424.17 = 589.97/x
  3. Step 3: Cross multiply
    1,032.23x = 1,424.17 × 589.97
  4. Step 4: Simplify right side
    1,032.23x = 840,217.57
  5. Step 5: Solve for x
    x = 840,217.57/1,032.23
  6. Step 6: Final answer
    x = 813.98

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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.