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Finding the Fourth Proportional to 933.31, 1,397.26 and 703.17

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Solution

The fourth proportional to 933.31, 1,397.26 and 703.17 is: 1,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.31 : 1,397.26 = 703.17 : x
  2. Step 2: Convert to fraction form
    933.31/1,397.26 = 703.17/x
  3. Step 3: Cross multiply
    933.31x = 1,397.26 × 703.17
  4. Step 4: Simplify right side
    933.31x = 982,511.31
  5. Step 5: Solve for x
    x = 982,511.31/933.31
  6. Step 6: Final answer
    x = 1,052.72

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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.