Home / 1,154.76-1,731.62-424.12

Finding the Fourth Proportional to 1,154.76, 1,731.62 and 424.12

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Solution

The fourth proportional to 1,154.76, 1,731.62 and 424.12 is: 635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.76 : 1,731.62 = 424.12 : x
  2. Step 2: Convert to fraction form
    1,154.76/1,731.62 = 424.12/x
  3. Step 3: Cross multiply
    1,154.76x = 1,731.62 × 424.12
  4. Step 4: Simplify right side
    1,154.76x = 734,414.67
  5. Step 5: Solve for x
    x = 734,414.67/1,154.76
  6. Step 6: Final answer
    x = 635.99

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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.