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Finding the Fourth Proportional to 1,081.30, 1,622.06 and 464.87

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Solution

The fourth proportional to 1,081.30, 1,622.06 and 464.87 is: 697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.30 : 1,622.06 = 464.87 : x
  2. Step 2: Convert to fraction form
    1,081.30/1,622.06 = 464.87/x
  3. Step 3: Cross multiply
    1,081.30x = 1,622.06 × 464.87
  4. Step 4: Simplify right side
    1,081.30x = 754,050.51
  5. Step 5: Solve for x
    x = 754,050.51/1,081.30
  6. Step 6: Final answer
    x = 697.36

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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.