Home / 1,032.09-1,424.23-589.93

Finding the Fourth Proportional to 1,032.09, 1,424.23 and 589.93

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Solution

The fourth proportional to 1,032.09, 1,424.23 and 589.93 is: 814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.09 : 1,424.23 = 589.93 : x
  2. Step 2: Convert to fraction form
    1,032.09/1,424.23 = 589.93/x
  3. Step 3: Cross multiply
    1,032.09x = 1,424.23 × 589.93
  4. Step 4: Simplify right side
    1,032.09x = 840,202.30
  5. Step 5: Solve for x
    x = 840,202.30/1,032.09
  6. Step 6: Final answer
    x = 814.08

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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.