Home / 1,023.49-1,535.28-293.08

Finding the Fourth Proportional to 1,023.49, 1,535.28 and 293.08

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Solution

The fourth proportional to 1,023.49, 1,535.28 and 293.08 is: 439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.49 : 1,535.28 = 293.08 : x
  2. Step 2: Convert to fraction form
    1,023.49/1,535.28 = 293.08/x
  3. Step 3: Cross multiply
    1,023.49x = 1,535.28 × 293.08
  4. Step 4: Simplify right side
    1,023.49x = 449,959.86
  5. Step 5: Solve for x
    x = 449,959.86/1,023.49
  6. Step 6: Final answer
    x = 439.63

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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.