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Finding the Fourth Proportional to 1,168.17, 1,612.07 and 637.05

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Solution

The fourth proportional to 1,168.17, 1,612.07 and 637.05 is: 879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.17 : 1,612.07 = 637.05 : x
  2. Step 2: Convert to fraction form
    1,168.17/1,612.07 = 637.05/x
  3. Step 3: Cross multiply
    1,168.17x = 1,612.07 × 637.05
  4. Step 4: Simplify right side
    1,168.17x = 1,026,964.22
  5. Step 5: Solve for x
    x = 1,026,964.22/1,168.17
  6. Step 6: Final answer
    x = 879.12

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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.