Home / 1,032.24-1,424.13-590.04

Finding the Fourth Proportional to 1,032.24, 1,424.13 and 590.04

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Solution

The fourth proportional to 1,032.24, 1,424.13 and 590.04 is: 814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.24 : 1,424.13 = 590.04 : x
  2. Step 2: Convert to fraction form
    1,032.24/1,424.13 = 590.04/x
  3. Step 3: Cross multiply
    1,032.24x = 1,424.13 × 590.04
  4. Step 4: Simplify right side
    1,032.24x = 840,293.67
  5. Step 5: Solve for x
    x = 840,293.67/1,032.24
  6. Step 6: Final answer
    x = 814.05

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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.