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Finding the Fourth Proportional to 1,238.16, 1,706.28 and 927.12

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Solution

The fourth proportional to 1,238.16, 1,706.28 and 927.12 is: 1,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.16 : 1,706.28 = 927.12 : x
  2. Step 2: Convert to fraction form
    1,238.16/1,706.28 = 927.12/x
  3. Step 3: Cross multiply
    1,238.16x = 1,706.28 × 927.12
  4. Step 4: Simplify right side
    1,238.16x = 1,581,926.31
  5. Step 5: Solve for x
    x = 1,581,926.31/1,238.16
  6. Step 6: Final answer
    x = 1,277.64

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Why These Related Problems?

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