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Finding the Fourth Proportional to 807.74, 1,209.89 and 460.89

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Solution

The fourth proportional to 807.74, 1,209.89 and 460.89 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.74 : 1,209.89 = 460.89 : x
  2. Step 2: Convert to fraction form
    807.74/1,209.89 = 460.89/x
  3. Step 3: Cross multiply
    807.74x = 1,209.89 × 460.89
  4. Step 4: Simplify right side
    807.74x = 557,623.90
  5. Step 5: Solve for x
    x = 557,623.90/807.74
  6. Step 6: Final answer
    x = 690.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.