Home / 1,024.17-1,414.05-631.74

Finding the Fourth Proportional to 1,024.17, 1,414.05 and 631.74

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Solution

The fourth proportional to 1,024.17, 1,414.05 and 631.74 is: 872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.17 : 1,414.05 = 631.74 : x
  2. Step 2: Convert to fraction form
    1,024.17/1,414.05 = 631.74/x
  3. Step 3: Cross multiply
    1,024.17x = 1,414.05 × 631.74
  4. Step 4: Simplify right side
    1,024.17x = 893,311.95
  5. Step 5: Solve for x
    x = 893,311.95/1,024.17
  6. Step 6: Final answer
    x = 872.23

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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.