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Finding the Fourth Proportional to 1,473.57, 2,207 and 704.61

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Solution

The fourth proportional to 1,473.57, 2,207 and 704.61 is: 1,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.57 : 2,207 = 704.61 : x
  2. Step 2: Convert to fraction form
    1,473.57/2,207 = 704.61/x
  3. Step 3: Cross multiply
    1,473.57x = 2,207 × 704.61
  4. Step 4: Simplify right side
    1,473.57x = 1,555,074.27
  5. Step 5: Solve for x
    x = 1,555,074.27/1,473.57
  6. Step 6: Final answer
    x = 1,055.31

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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.