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Finding the Fourth Proportional to 944.03, 1,302.81 and 710.75

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Solution

The fourth proportional to 944.03, 1,302.81 and 710.75 is: 980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.03 : 1,302.81 = 710.75 : x
  2. Step 2: Convert to fraction form
    944.03/1,302.81 = 710.75/x
  3. Step 3: Cross multiply
    944.03x = 1,302.81 × 710.75
  4. Step 4: Simplify right side
    944.03x = 925,972.21
  5. Step 5: Solve for x
    x = 925,972.21/944.03
  6. Step 6: Final answer
    x = 980.87

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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.