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Finding the Fourth Proportional to 1,150.36, 1,714.49 and 1,148.54

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Solution

The fourth proportional to 1,150.36, 1,714.49 and 1,148.54 is: 1,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.36 : 1,714.49 = 1,148.54 : x
  2. Step 2: Convert to fraction form
    1,150.36/1,714.49 = 1,148.54/x
  3. Step 3: Cross multiply
    1,150.36x = 1,714.49 × 1,148.54
  4. Step 4: Simplify right side
    1,150.36x = 1,969,160.34
  5. Step 5: Solve for x
    x = 1,969,160.34/1,150.36
  6. Step 6: Final answer
    x = 1,711.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.