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Finding the Fourth Proportional to 1,095.23, 1,641.97 and 547.13

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Solution

The fourth proportional to 1,095.23, 1,641.97 and 547.13 is: 820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.23 : 1,641.97 = 547.13 : x
  2. Step 2: Convert to fraction form
    1,095.23/1,641.97 = 547.13/x
  3. Step 3: Cross multiply
    1,095.23x = 1,641.97 × 547.13
  4. Step 4: Simplify right side
    1,095.23x = 898,371.05
  5. Step 5: Solve for x
    x = 898,371.05/1,095.23
  6. Step 6: Final answer
    x = 820.26

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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.