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Finding the Fourth Proportional to 1,398.34, 1,928.85 and 874.27

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Solution

The fourth proportional to 1,398.34, 1,928.85 and 874.27 is: 1,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.34 : 1,928.85 = 874.27 : x
  2. Step 2: Convert to fraction form
    1,398.34/1,928.85 = 874.27/x
  3. Step 3: Cross multiply
    1,398.34x = 1,928.85 × 874.27
  4. Step 4: Simplify right side
    1,398.34x = 1,686,335.69
  5. Step 5: Solve for x
    x = 1,686,335.69/1,398.34
  6. Step 6: Final answer
    x = 1,205.96

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