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Finding the Fourth Proportional to 983.15, 1,473.81 and 928.78

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Solution

The fourth proportional to 983.15, 1,473.81 and 928.78 is: 1,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.15 : 1,473.81 = 928.78 : x
  2. Step 2: Convert to fraction form
    983.15/1,473.81 = 928.78/x
  3. Step 3: Cross multiply
    983.15x = 1,473.81 × 928.78
  4. Step 4: Simplify right side
    983.15x = 1,368,845.25
  5. Step 5: Solve for x
    x = 1,368,845.25/983.15
  6. Step 6: Final answer
    x = 1,392.31

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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.