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Finding the Fourth Proportional to 715.29, 1,069.78 and 622.64

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Solution

The fourth proportional to 715.29, 1,069.78 and 622.64 is: 931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.29 : 1,069.78 = 622.64 : x
  2. Step 2: Convert to fraction form
    715.29/1,069.78 = 622.64/x
  3. Step 3: Cross multiply
    715.29x = 1,069.78 × 622.64
  4. Step 4: Simplify right side
    715.29x = 666,087.82
  5. Step 5: Solve for x
    x = 666,087.82/715.29
  6. Step 6: Final answer
    x = 931.21

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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.