Home / 1,032.03-1,424.25-590.02

Finding the Fourth Proportional to 1,032.03, 1,424.25 and 590.02

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Solution

The fourth proportional to 1,032.03, 1,424.25 and 590.02 is: 814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.03 : 1,424.25 = 590.02 : x
  2. Step 2: Convert to fraction form
    1,032.03/1,424.25 = 590.02/x
  3. Step 3: Cross multiply
    1,032.03x = 1,424.25 × 590.02
  4. Step 4: Simplify right side
    1,032.03x = 840,335.99
  5. Step 5: Solve for x
    x = 840,335.99/1,032.03
  6. Step 6: Final answer
    x = 814.26

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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.