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Finding the Fourth Proportional to 933.70, 1,398.92 and 500.08

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Solution

The fourth proportional to 933.70, 1,398.92 and 500.08 is: 749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.70 : 1,398.92 = 500.08 : x
  2. Step 2: Convert to fraction form
    933.70/1,398.92 = 500.08/x
  3. Step 3: Cross multiply
    933.70x = 1,398.92 × 500.08
  4. Step 4: Simplify right side
    933.70x = 699,571.91
  5. Step 5: Solve for x
    x = 699,571.91/933.70
  6. Step 6: Final answer
    x = 749.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.