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Finding the Fourth Proportional to 1,092.94, 1,630.58 and 983.32

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Solution

The fourth proportional to 1,092.94, 1,630.58 and 983.32 is: 1,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.94 : 1,630.58 = 983.32 : x
  2. Step 2: Convert to fraction form
    1,092.94/1,630.58 = 983.32/x
  3. Step 3: Cross multiply
    1,092.94x = 1,630.58 × 983.32
  4. Step 4: Simplify right side
    1,092.94x = 1,603,381.93
  5. Step 5: Solve for x
    x = 1,603,381.93/1,092.94
  6. Step 6: Final answer
    x = 1,467.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.