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Finding the Fourth Proportional to 1,338.84, 1,848.48 and 842.16

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Solution

The fourth proportional to 1,338.84, 1,848.48 and 842.16 is: 1,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.84 : 1,848.48 = 842.16 : x
  2. Step 2: Convert to fraction form
    1,338.84/1,848.48 = 842.16/x
  3. Step 3: Cross multiply
    1,338.84x = 1,848.48 × 842.16
  4. Step 4: Simplify right side
    1,338.84x = 1,556,715.92
  5. Step 5: Solve for x
    x = 1,556,715.92/1,338.84
  6. Step 6: Final answer
    x = 1,162.73

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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.