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Finding the Fourth Proportional to 1,471.65, 2,206.16 and 547.04

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Solution

The fourth proportional to 1,471.65, 2,206.16 and 547.04 is: 820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.65 : 2,206.16 = 547.04 : x
  2. Step 2: Convert to fraction form
    1,471.65/2,206.16 = 547.04/x
  3. Step 3: Cross multiply
    1,471.65x = 2,206.16 × 547.04
  4. Step 4: Simplify right side
    1,471.65x = 1,206,844.00
  5. Step 5: Solve for x
    x = 1,206,844.00/1,471.65
  6. Step 6: Final answer
    x = 820.06

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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.