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Finding the Fourth Proportional to 1,106.19, 1,665.72 and 800.19

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Solution

The fourth proportional to 1,106.19, 1,665.72 and 800.19 is: 1,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.19 : 1,665.72 = 800.19 : x
  2. Step 2: Convert to fraction form
    1,106.19/1,665.72 = 800.19/x
  3. Step 3: Cross multiply
    1,106.19x = 1,665.72 × 800.19
  4. Step 4: Simplify right side
    1,106.19x = 1,332,892.49
  5. Step 5: Solve for x
    x = 1,332,892.49/1,106.19
  6. Step 6: Final answer
    x = 1,204.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.