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Finding the Fourth Proportional to 1,187.60, 1,635.39 and 814.19

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Solution

The fourth proportional to 1,187.60, 1,635.39 and 814.19 is: 1,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.60 : 1,635.39 = 814.19 : x
  2. Step 2: Convert to fraction form
    1,187.60/1,635.39 = 814.19/x
  3. Step 3: Cross multiply
    1,187.60x = 1,635.39 × 814.19
  4. Step 4: Simplify right side
    1,187.60x = 1,331,518.18
  5. Step 5: Solve for x
    x = 1,331,518.18/1,187.60
  6. Step 6: Final answer
    x = 1,121.18

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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.