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Finding the Fourth Proportional to 1,067.26, 1,598.76 and 848.26

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Solution

The fourth proportional to 1,067.26, 1,598.76 and 848.26 is: 1,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.26 : 1,598.76 = 848.26 : x
  2. Step 2: Convert to fraction form
    1,067.26/1,598.76 = 848.26/x
  3. Step 3: Cross multiply
    1,067.26x = 1,598.76 × 848.26
  4. Step 4: Simplify right side
    1,067.26x = 1,356,164.16
  5. Step 5: Solve for x
    x = 1,356,164.16/1,067.26
  6. Step 6: Final answer
    x = 1,270.70

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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.