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Finding the Fourth Proportional to 1,094.13, 1,641.18 and 608.20

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Solution

The fourth proportional to 1,094.13, 1,641.18 and 608.20 is: 912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.13 : 1,641.18 = 608.20 : x
  2. Step 2: Convert to fraction form
    1,094.13/1,641.18 = 608.20/x
  3. Step 3: Cross multiply
    1,094.13x = 1,641.18 × 608.20
  4. Step 4: Simplify right side
    1,094.13x = 998,165.68
  5. Step 5: Solve for x
    x = 998,165.68/1,094.13
  6. Step 6: Final answer
    x = 912.29

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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.