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Finding the Fourth Proportional to 1,138.33, 1,708.06 and 772.36

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Solution

The fourth proportional to 1,138.33, 1,708.06 and 772.36 is: 1,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.33 : 1,708.06 = 772.36 : x
  2. Step 2: Convert to fraction form
    1,138.33/1,708.06 = 772.36/x
  3. Step 3: Cross multiply
    1,138.33x = 1,708.06 × 772.36
  4. Step 4: Simplify right side
    1,138.33x = 1,319,239.44
  5. Step 5: Solve for x
    x = 1,319,239.44/1,138.33
  6. Step 6: Final answer
    x = 1,158.93

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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.