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Finding the Fourth Proportional to 1,447.08, 2,170.80 and 473.52

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Solution

The fourth proportional to 1,447.08, 2,170.80 and 473.52 is: 710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.08 : 2,170.80 = 473.52 : x
  2. Step 2: Convert to fraction form
    1,447.08/2,170.80 = 473.52/x
  3. Step 3: Cross multiply
    1,447.08x = 2,170.80 × 473.52
  4. Step 4: Simplify right side
    1,447.08x = 1,027,917.22
  5. Step 5: Solve for x
    x = 1,027,917.22/1,447.08
  6. Step 6: Final answer
    x = 710.34

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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.