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Finding the Fourth Proportional to 933.66, 1,394.24 and 886.28

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Solution

The fourth proportional to 933.66, 1,394.24 and 886.28 is: 1,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.66 : 1,394.24 = 886.28 : x
  2. Step 2: Convert to fraction form
    933.66/1,394.24 = 886.28/x
  3. Step 3: Cross multiply
    933.66x = 1,394.24 × 886.28
  4. Step 4: Simplify right side
    933.66x = 1,235,675.62
  5. Step 5: Solve for x
    x = 1,235,675.62/933.66
  6. Step 6: Final answer
    x = 1,323.47

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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.