Home / 1,032.20-1,424.40-590.08

Finding the Fourth Proportional to 1,032.20, 1,424.40 and 590.08

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Solution

The fourth proportional to 1,032.20, 1,424.40 and 590.08 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.20 : 1,424.40 = 590.08 : x
  2. Step 2: Convert to fraction form
    1,032.20/1,424.40 = 590.08/x
  3. Step 3: Cross multiply
    1,032.20x = 1,424.40 × 590.08
  4. Step 4: Simplify right side
    1,032.20x = 840,509.95
  5. Step 5: Solve for x
    x = 840,509.95/1,032.20
  6. Step 6: Final answer
    x = 814.29

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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.