Home / 1,154.97-1,733.18-461.54

Finding the Fourth Proportional to 1,154.97, 1,733.18 and 461.54

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Solution

The fourth proportional to 1,154.97, 1,733.18 and 461.54 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.97 : 1,733.18 = 461.54 : x
  2. Step 2: Convert to fraction form
    1,154.97/1,733.18 = 461.54/x
  3. Step 3: Cross multiply
    1,154.97x = 1,733.18 × 461.54
  4. Step 4: Simplify right side
    1,154.97x = 799,920.92
  5. Step 5: Solve for x
    x = 799,920.92/1,154.97
  6. Step 6: Final answer
    x = 692.59

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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.