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Finding the Fourth Proportional to 1,168.36, 1,612.38 and 671.10

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Solution

The fourth proportional to 1,168.36, 1,612.38 and 671.10 is: 926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.36 : 1,612.38 = 671.10 : x
  2. Step 2: Convert to fraction form
    1,168.36/1,612.38 = 671.10/x
  3. Step 3: Cross multiply
    1,168.36x = 1,612.38 × 671.10
  4. Step 4: Simplify right side
    1,168.36x = 1,082,070.57
  5. Step 5: Solve for x
    x = 1,082,070.57/1,168.36
  6. Step 6: Final answer
    x = 926.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.