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Finding the Fourth Proportional to 715.12, 985.87 and 699.59

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Solution

The fourth proportional to 715.12, 985.87 and 699.59 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.12 : 985.87 = 699.59 : x
  2. Step 2: Convert to fraction form
    715.12/985.87 = 699.59/x
  3. Step 3: Cross multiply
    715.12x = 985.87 × 699.59
  4. Step 4: Simplify right side
    715.12x = 689,704.79
  5. Step 5: Solve for x
    x = 689,704.79/715.12
  6. Step 6: Final answer
    x = 964.46

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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.