Home / 1,032.04-1,424.16-589.92

Finding the Fourth Proportional to 1,032.04, 1,424.16 and 589.92

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Solution

The fourth proportional to 1,032.04, 1,424.16 and 589.92 is: 814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.04 : 1,424.16 = 589.92 : x
  2. Step 2: Convert to fraction form
    1,032.04/1,424.16 = 589.92/x
  3. Step 3: Cross multiply
    1,032.04x = 1,424.16 × 589.92
  4. Step 4: Simplify right side
    1,032.04x = 840,140.47
  5. Step 5: Solve for x
    x = 840,140.47/1,032.04
  6. Step 6: Final answer
    x = 814.06

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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.