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Finding the Fourth Proportional to 1,188.15, 1,637.62 and 814.49

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Solution

The fourth proportional to 1,188.15, 1,637.62 and 814.49 is: 1,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.15 : 1,637.62 = 814.49 : x
  2. Step 2: Convert to fraction form
    1,188.15/1,637.62 = 814.49/x
  3. Step 3: Cross multiply
    1,188.15x = 1,637.62 × 814.49
  4. Step 4: Simplify right side
    1,188.15x = 1,333,825.11
  5. Step 5: Solve for x
    x = 1,333,825.11/1,188.15
  6. Step 6: Final answer
    x = 1,122.61

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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.