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Finding the Fourth Proportional to 1,081.69, 1,622.80 and 312.19

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Solution

The fourth proportional to 1,081.69, 1,622.80 and 312.19 is: 468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.69 : 1,622.80 = 312.19 : x
  2. Step 2: Convert to fraction form
    1,081.69/1,622.80 = 312.19/x
  3. Step 3: Cross multiply
    1,081.69x = 1,622.80 × 312.19
  4. Step 4: Simplify right side
    1,081.69x = 506,618.27
  5. Step 5: Solve for x
    x = 506,618.27/1,081.69
  6. Step 6: Final answer
    x = 468.36

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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.