Home / 1,023.18-1,532.25-589.02

Finding the Fourth Proportional to 1,023.18, 1,532.25 and 589.02

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Solution

The fourth proportional to 1,023.18, 1,532.25 and 589.02 is: 882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.18 : 1,532.25 = 589.02 : x
  2. Step 2: Convert to fraction form
    1,023.18/1,532.25 = 589.02/x
  3. Step 3: Cross multiply
    1,023.18x = 1,532.25 × 589.02
  4. Step 4: Simplify right side
    1,023.18x = 902,525.90
  5. Step 5: Solve for x
    x = 902,525.90/1,023.18
  6. Step 6: Final answer
    x = 882.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.