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Finding the Fourth Proportional to 809.78, 1,215.02 and 444.11

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Solution

The fourth proportional to 809.78, 1,215.02 and 444.11 is: 666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.78 : 1,215.02 = 444.11 : x
  2. Step 2: Convert to fraction form
    809.78/1,215.02 = 444.11/x
  3. Step 3: Cross multiply
    809.78x = 1,215.02 × 444.11
  4. Step 4: Simplify right side
    809.78x = 539,597.57
  5. Step 5: Solve for x
    x = 539,597.57/809.78
  6. Step 6: Final answer
    x = 666.35

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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.