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Finding the Fourth Proportional to 1,076.89, 1,614.93 and 848.47

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Solution

The fourth proportional to 1,076.89, 1,614.93 and 848.47 is: 1,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.89 : 1,614.93 = 848.47 : x
  2. Step 2: Convert to fraction form
    1,076.89/1,614.93 = 848.47/x
  3. Step 3: Cross multiply
    1,076.89x = 1,614.93 × 848.47
  4. Step 4: Simplify right side
    1,076.89x = 1,370,219.66
  5. Step 5: Solve for x
    x = 1,370,219.66/1,076.89
  6. Step 6: Final answer
    x = 1,272.39

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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.