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Finding the Fourth Proportional to 943.83, 1,302.60 and 722.70

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Solution

The fourth proportional to 943.83, 1,302.60 and 722.70 is: 997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.83 : 1,302.60 = 722.70 : x
  2. Step 2: Convert to fraction form
    943.83/1,302.60 = 722.70/x
  3. Step 3: Cross multiply
    943.83x = 1,302.60 × 722.70
  4. Step 4: Simplify right side
    943.83x = 941,389.02
  5. Step 5: Solve for x
    x = 941,389.02/943.83
  6. Step 6: Final answer
    x = 997.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.