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Finding the Fourth Proportional to 1,398.88, 1,928.85 and 894.05

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Solution

The fourth proportional to 1,398.88, 1,928.85 and 894.05 is: 1,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.88 : 1,928.85 = 894.05 : x
  2. Step 2: Convert to fraction form
    1,398.88/1,928.85 = 894.05/x
  3. Step 3: Cross multiply
    1,398.88x = 1,928.85 × 894.05
  4. Step 4: Simplify right side
    1,398.88x = 1,724,478.70
  5. Step 5: Solve for x
    x = 1,724,478.70/1,398.88
  6. Step 6: Final answer
    x = 1,232.76

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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.