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Finding the Fourth Proportional to 806.38, 1,209.85 and 373.84

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Solution

The fourth proportional to 806.38, 1,209.85 and 373.84 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.38 : 1,209.85 = 373.84 : x
  2. Step 2: Convert to fraction form
    806.38/1,209.85 = 373.84/x
  3. Step 3: Cross multiply
    806.38x = 1,209.85 × 373.84
  4. Step 4: Simplify right side
    806.38x = 452,290.32
  5. Step 5: Solve for x
    x = 452,290.32/806.38
  6. Step 6: Final answer
    x = 560.89

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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.