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Finding the Fourth Proportional to 737.24, 1,106.70 and 583.68

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Solution

The fourth proportional to 737.24, 1,106.70 and 583.68 is: 876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.24 : 1,106.70 = 583.68 : x
  2. Step 2: Convert to fraction form
    737.24/1,106.70 = 583.68/x
  3. Step 3: Cross multiply
    737.24x = 1,106.70 × 583.68
  4. Step 4: Simplify right side
    737.24x = 645,958.66
  5. Step 5: Solve for x
    x = 645,958.66/737.24
  6. Step 6: Final answer
    x = 876.19

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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.