Home / 1,032.27-1,424.55-590.21

Finding the Fourth Proportional to 1,032.27, 1,424.55 and 590.21

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Solution

The fourth proportional to 1,032.27, 1,424.55 and 590.21 is: 814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.27 : 1,424.55 = 590.21 : x
  2. Step 2: Convert to fraction form
    1,032.27/1,424.55 = 590.21/x
  3. Step 3: Cross multiply
    1,032.27x = 1,424.55 × 590.21
  4. Step 4: Simplify right side
    1,032.27x = 840,783.66
  5. Step 5: Solve for x
    x = 840,783.66/1,032.27
  6. Step 6: Final answer
    x = 814.50

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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.