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Finding the Fourth Proportional to 1,192.49, 1,646.25 and 800.18

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Solution

The fourth proportional to 1,192.49, 1,646.25 and 800.18 is: 1,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.49 : 1,646.25 = 800.18 : x
  2. Step 2: Convert to fraction form
    1,192.49/1,646.25 = 800.18/x
  3. Step 3: Cross multiply
    1,192.49x = 1,646.25 × 800.18
  4. Step 4: Simplify right side
    1,192.49x = 1,317,296.33
  5. Step 5: Solve for x
    x = 1,317,296.33/1,192.49
  6. Step 6: Final answer
    x = 1,104.66

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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.