Home / 1,032.30-1,424.56-590.20

Finding the Fourth Proportional to 1,032.30, 1,424.56 and 590.20

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Solution

The fourth proportional to 1,032.30, 1,424.56 and 590.20 is: 814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.30 : 1,424.56 = 590.20 : x
  2. Step 2: Convert to fraction form
    1,032.30/1,424.56 = 590.20/x
  3. Step 3: Cross multiply
    1,032.30x = 1,424.56 × 590.20
  4. Step 4: Simplify right side
    1,032.30x = 840,775.31
  5. Step 5: Solve for x
    x = 840,775.31/1,032.30
  6. Step 6: Final answer
    x = 814.47

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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.