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Finding the Fourth Proportional to 1,199.07, 1,654.78 and 800.04

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Solution

The fourth proportional to 1,199.07, 1,654.78 and 800.04 is: 1,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.07 : 1,654.78 = 800.04 : x
  2. Step 2: Convert to fraction form
    1,199.07/1,654.78 = 800.04/x
  3. Step 3: Cross multiply
    1,199.07x = 1,654.78 × 800.04
  4. Step 4: Simplify right side
    1,199.07x = 1,323,890.19
  5. Step 5: Solve for x
    x = 1,323,890.19/1,199.07
  6. Step 6: Final answer
    x = 1,104.10

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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.