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Finding the Fourth Proportional to 937.42, 1,406.94 and 613.18

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Solution

The fourth proportional to 937.42, 1,406.94 and 613.18 is: 920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.42 : 1,406.94 = 613.18 : x
  2. Step 2: Convert to fraction form
    937.42/1,406.94 = 613.18/x
  3. Step 3: Cross multiply
    937.42x = 1,406.94 × 613.18
  4. Step 4: Simplify right side
    937.42x = 862,707.47
  5. Step 5: Solve for x
    x = 862,707.47/937.42
  6. Step 6: Final answer
    x = 920.30

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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.