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Finding the Fourth Proportional to 1,138.04, 1,706.11 and 792.05

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Solution

The fourth proportional to 1,138.04, 1,706.11 and 792.05 is: 1,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.04 : 1,706.11 = 792.05 : x
  2. Step 2: Convert to fraction form
    1,138.04/1,706.11 = 792.05/x
  3. Step 3: Cross multiply
    1,138.04x = 1,706.11 × 792.05
  4. Step 4: Simplify right side
    1,138.04x = 1,351,326.71
  5. Step 5: Solve for x
    x = 1,351,326.71/1,138.04
  6. Step 6: Final answer
    x = 1,187.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.