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Finding the Fourth Proportional to 1,168.86, 1,612.91 and 671.66

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Solution

The fourth proportional to 1,168.86, 1,612.91 and 671.66 is: 926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.86 : 1,612.91 = 671.66 : x
  2. Step 2: Convert to fraction form
    1,168.86/1,612.91 = 671.66/x
  3. Step 3: Cross multiply
    1,168.86x = 1,612.91 × 671.66
  4. Step 4: Simplify right side
    1,168.86x = 1,083,326.79
  5. Step 5: Solve for x
    x = 1,083,326.79/1,168.86
  6. Step 6: Final answer
    x = 926.82

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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.