Home / 1,156.03-1,733.19-462.13

Finding the Fourth Proportional to 1,156.03, 1,733.19 and 462.13

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Solution

The fourth proportional to 1,156.03, 1,733.19 and 462.13 is: 692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.03 : 1,733.19 = 462.13 : x
  2. Step 2: Convert to fraction form
    1,156.03/1,733.19 = 462.13/x
  3. Step 3: Cross multiply
    1,156.03x = 1,733.19 × 462.13
  4. Step 4: Simplify right side
    1,156.03x = 800,959.09
  5. Step 5: Solve for x
    x = 800,959.09/1,156.03
  6. Step 6: Final answer
    x = 692.85

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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.