Home / 1,002.14-1,503.20-409.22

Finding the Fourth Proportional to 1,002.14, 1,503.20 and 409.22

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Solution

The fourth proportional to 1,002.14, 1,503.20 and 409.22 is: 613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.14 : 1,503.20 = 409.22 : x
  2. Step 2: Convert to fraction form
    1,002.14/1,503.20 = 409.22/x
  3. Step 3: Cross multiply
    1,002.14x = 1,503.20 × 409.22
  4. Step 4: Simplify right side
    1,002.14x = 615,139.50
  5. Step 5: Solve for x
    x = 615,139.50/1,002.14
  6. Step 6: Final answer
    x = 613.83

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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.