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Finding the Fourth Proportional to 740.88, 1,019.79 and 686.21

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Solution

The fourth proportional to 740.88, 1,019.79 and 686.21 is: 944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.88 : 1,019.79 = 686.21 : x
  2. Step 2: Convert to fraction form
    740.88/1,019.79 = 686.21/x
  3. Step 3: Cross multiply
    740.88x = 1,019.79 × 686.21
  4. Step 4: Simplify right side
    740.88x = 699,785.00
  5. Step 5: Solve for x
    x = 699,785.00/740.88
  6. Step 6: Final answer
    x = 944.53

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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.