Home / 1,032.12-1,423.98-589.71

Finding the Fourth Proportional to 1,032.12, 1,423.98 and 589.71

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Solution

The fourth proportional to 1,032.12, 1,423.98 and 589.71 is: 813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.12 : 1,423.98 = 589.71 : x
  2. Step 2: Convert to fraction form
    1,032.12/1,423.98 = 589.71/x
  3. Step 3: Cross multiply
    1,032.12x = 1,423.98 × 589.71
  4. Step 4: Simplify right side
    1,032.12x = 839,735.25
  5. Step 5: Solve for x
    x = 839,735.25/1,032.12
  6. Step 6: Final answer
    x = 813.60

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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.