Home / 1,494.20-2,242.08-713.70

Finding the Fourth Proportional to 1,494.20, 2,242.08 and 713.70

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Solution

The fourth proportional to 1,494.20, 2,242.08 and 713.70 is: 1,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.20 : 2,242.08 = 713.70 : x
  2. Step 2: Convert to fraction form
    1,494.20/2,242.08 = 713.70/x
  3. Step 3: Cross multiply
    1,494.20x = 2,242.08 × 713.70
  4. Step 4: Simplify right side
    1,494.20x = 1,600,172.50
  5. Step 5: Solve for x
    x = 1,600,172.50/1,494.20
  6. Step 6: Final answer
    x = 1,070.92

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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.