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Finding the Fourth Proportional to 1,478.36, 2,039.57 and 848.66

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Solution

The fourth proportional to 1,478.36, 2,039.57 and 848.66 is: 1,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.36 : 2,039.57 = 848.66 : x
  2. Step 2: Convert to fraction form
    1,478.36/2,039.57 = 848.66/x
  3. Step 3: Cross multiply
    1,478.36x = 2,039.57 × 848.66
  4. Step 4: Simplify right side
    1,478.36x = 1,730,902.33
  5. Step 5: Solve for x
    x = 1,730,902.33/1,478.36
  6. Step 6: Final answer
    x = 1,170.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.