Home / 1,023.66-1,534.05-589.92

Finding the Fourth Proportional to 1,023.66, 1,534.05 and 589.92

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Solution

The fourth proportional to 1,023.66, 1,534.05 and 589.92 is: 884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.66 : 1,534.05 = 589.92 : x
  2. Step 2: Convert to fraction form
    1,023.66/1,534.05 = 589.92/x
  3. Step 3: Cross multiply
    1,023.66x = 1,534.05 × 589.92
  4. Step 4: Simplify right side
    1,023.66x = 904,966.78
  5. Step 5: Solve for x
    x = 904,966.78/1,023.66
  6. Step 6: Final answer
    x = 884.05

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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.