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Finding the Fourth Proportional to 806.71, 1,209.66 and 416.90

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Solution

The fourth proportional to 806.71, 1,209.66 and 416.90 is: 625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.71 : 1,209.66 = 416.90 : x
  2. Step 2: Convert to fraction form
    806.71/1,209.66 = 416.90/x
  3. Step 3: Cross multiply
    806.71x = 1,209.66 × 416.90
  4. Step 4: Simplify right side
    806.71x = 504,307.25
  5. Step 5: Solve for x
    x = 504,307.25/806.71
  6. Step 6: Final answer
    x = 625.14

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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.