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Finding the Fourth Proportional to 1,081.09, 1,622.04 and 464.95

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Solution

The fourth proportional to 1,081.09, 1,622.04 and 464.95 is: 697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.09 : 1,622.04 = 464.95 : x
  2. Step 2: Convert to fraction form
    1,081.09/1,622.04 = 464.95/x
  3. Step 3: Cross multiply
    1,081.09x = 1,622.04 × 464.95
  4. Step 4: Simplify right side
    1,081.09x = 754,167.50
  5. Step 5: Solve for x
    x = 754,167.50/1,081.09
  6. Step 6: Final answer
    x = 697.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.