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Finding the Fourth Proportional to 1,002.84, 1,502.64 and 820.32

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Solution

The fourth proportional to 1,002.84, 1,502.64 and 820.32 is: 1,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.84 : 1,502.64 = 820.32 : x
  2. Step 2: Convert to fraction form
    1,002.84/1,502.64 = 820.32/x
  3. Step 3: Cross multiply
    1,002.84x = 1,502.64 × 820.32
  4. Step 4: Simplify right side
    1,002.84x = 1,232,645.64
  5. Step 5: Solve for x
    x = 1,232,645.64/1,002.84
  6. Step 6: Final answer
    x = 1,229.15

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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.