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Finding the Fourth Proportional to 933.22, 1,398.51 and 737.36

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Solution

The fourth proportional to 933.22, 1,398.51 and 737.36 is: 1,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.22 : 1,398.51 = 737.36 : x
  2. Step 2: Convert to fraction form
    933.22/1,398.51 = 737.36/x
  3. Step 3: Cross multiply
    933.22x = 1,398.51 × 737.36
  4. Step 4: Simplify right side
    933.22x = 1,031,194.65
  5. Step 5: Solve for x
    x = 1,031,194.65/933.22
  6. Step 6: Final answer
    x = 1,104.99

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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.