Home / 1,032.18-1,424.46-590.05

Finding the Fourth Proportional to 1,032.18, 1,424.46 and 590.05

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Solution

The fourth proportional to 1,032.18, 1,424.46 and 590.05 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.18 : 1,424.46 = 590.05 : x
  2. Step 2: Convert to fraction form
    1,032.18/1,424.46 = 590.05/x
  3. Step 3: Cross multiply
    1,032.18x = 1,424.46 × 590.05
  4. Step 4: Simplify right side
    1,032.18x = 840,502.62
  5. Step 5: Solve for x
    x = 840,502.62/1,032.18
  6. Step 6: Final answer
    x = 814.30

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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.