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Finding the Fourth Proportional to 1,002.44, 1,503.77 and 309.18

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Solution

The fourth proportional to 1,002.44, 1,503.77 and 309.18 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.44 : 1,503.77 = 309.18 : x
  2. Step 2: Convert to fraction form
    1,002.44/1,503.77 = 309.18/x
  3. Step 3: Cross multiply
    1,002.44x = 1,503.77 × 309.18
  4. Step 4: Simplify right side
    1,002.44x = 464,939.70
  5. Step 5: Solve for x
    x = 464,939.70/1,002.44
  6. Step 6: Final answer
    x = 463.81

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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.