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Finding the Fourth Proportional to 1,470.15, 2,205.12 and 545.54

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Solution

The fourth proportional to 1,470.15, 2,205.12 and 545.54 is: 818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.15 : 2,205.12 = 545.54 : x
  2. Step 2: Convert to fraction form
    1,470.15/2,205.12 = 545.54/x
  3. Step 3: Cross multiply
    1,470.15x = 2,205.12 × 545.54
  4. Step 4: Simplify right side
    1,470.15x = 1,202,970.14
  5. Step 5: Solve for x
    x = 1,202,970.14/1,470.15
  6. Step 6: Final answer
    x = 818.26

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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.