Home / 1,024.28-1,414.10-675.58

Finding the Fourth Proportional to 1,024.28, 1,414.10 and 675.58

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Solution

The fourth proportional to 1,024.28, 1,414.10 and 675.58 is: 932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.28 : 1,414.10 = 675.58 : x
  2. Step 2: Convert to fraction form
    1,024.28/1,414.10 = 675.58/x
  3. Step 3: Cross multiply
    1,024.28x = 1,414.10 × 675.58
  4. Step 4: Simplify right side
    1,024.28x = 955,330.76
  5. Step 5: Solve for x
    x = 955,330.76/1,024.28
  6. Step 6: Final answer
    x = 932.68

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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.