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Finding the Fourth Proportional to 937.76, 1,407.36 and 613.04

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Solution

The fourth proportional to 937.76, 1,407.36 and 613.04 is: 920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.76 : 1,407.36 = 613.04 : x
  2. Step 2: Convert to fraction form
    937.76/1,407.36 = 613.04/x
  3. Step 3: Cross multiply
    937.76x = 1,407.36 × 613.04
  4. Step 4: Simplify right side
    937.76x = 862,767.97
  5. Step 5: Solve for x
    x = 862,767.97/937.76
  6. Step 6: Final answer
    x = 920.03

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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.