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Finding the Fourth Proportional to 809.87, 1,117.40 and 478.17

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Solution

The fourth proportional to 809.87, 1,117.40 and 478.17 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.87 : 1,117.40 = 478.17 : x
  2. Step 2: Convert to fraction form
    809.87/1,117.40 = 478.17/x
  3. Step 3: Cross multiply
    809.87x = 1,117.40 × 478.17
  4. Step 4: Simplify right side
    809.87x = 534,304.77
  5. Step 5: Solve for x
    x = 534,304.77/809.87
  6. Step 6: Final answer
    x = 659.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.