Home / 1,002.24-1,503.04-318.08

Finding the Fourth Proportional to 1,002.24, 1,503.04 and 318.08

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Solution

The fourth proportional to 1,002.24, 1,503.04 and 318.08 is: 477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.24 : 1,503.04 = 318.08 : x
  2. Step 2: Convert to fraction form
    1,002.24/1,503.04 = 318.08/x
  3. Step 3: Cross multiply
    1,002.24x = 1,503.04 × 318.08
  4. Step 4: Simplify right side
    1,002.24x = 478,086.96
  5. Step 5: Solve for x
    x = 478,086.96/1,002.24
  6. Step 6: Final answer
    x = 477.02

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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.