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Finding the Fourth Proportional to 933.03, 1,398.17 and 830.51

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Solution

The fourth proportional to 933.03, 1,398.17 and 830.51 is: 1,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.03 : 1,398.17 = 830.51 : x
  2. Step 2: Convert to fraction form
    933.03/1,398.17 = 830.51/x
  3. Step 3: Cross multiply
    933.03x = 1,398.17 × 830.51
  4. Step 4: Simplify right side
    933.03x = 1,161,183.02
  5. Step 5: Solve for x
    x = 1,161,183.02/933.03
  6. Step 6: Final answer
    x = 1,244.53

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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.