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Finding the Fourth Proportional to 1,178.62, 1,626.66 and 848.14

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Solution

The fourth proportional to 1,178.62, 1,626.66 and 848.14 is: 1,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.62 : 1,626.66 = 848.14 : x
  2. Step 2: Convert to fraction form
    1,178.62/1,626.66 = 848.14/x
  3. Step 3: Cross multiply
    1,178.62x = 1,626.66 × 848.14
  4. Step 4: Simplify right side
    1,178.62x = 1,379,635.41
  5. Step 5: Solve for x
    x = 1,379,635.41/1,178.62
  6. Step 6: Final answer
    x = 1,170.55

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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.