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Finding the Fourth Proportional to 1,470.22, 2,205.08 and 545.56

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Solution

The fourth proportional to 1,470.22, 2,205.08 and 545.56 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.22 : 2,205.08 = 545.56 : x
  2. Step 2: Convert to fraction form
    1,470.22/2,205.08 = 545.56/x
  3. Step 3: Cross multiply
    1,470.22x = 2,205.08 × 545.56
  4. Step 4: Simplify right side
    1,470.22x = 1,203,003.44
  5. Step 5: Solve for x
    x = 1,203,003.44/1,470.22
  6. Step 6: Final answer
    x = 818.25

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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.