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Finding the Fourth Proportional to 1,473.29, 2,207.34 and 778.43

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Solution

The fourth proportional to 1,473.29, 2,207.34 and 778.43 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.29 : 2,207.34 = 778.43 : x
  2. Step 2: Convert to fraction form
    1,473.29/2,207.34 = 778.43/x
  3. Step 3: Cross multiply
    1,473.29x = 2,207.34 × 778.43
  4. Step 4: Simplify right side
    1,473.29x = 1,718,261.62
  5. Step 5: Solve for x
    x = 1,718,261.62/1,473.29
  6. Step 6: Final answer
    x = 1,166.27

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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.