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Finding the Fourth Proportional to 1,096.93, 1,513.17 and 697.87

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Solution

The fourth proportional to 1,096.93, 1,513.17 and 697.87 is: 962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.93 : 1,513.17 = 697.87 : x
  2. Step 2: Convert to fraction form
    1,096.93/1,513.17 = 697.87/x
  3. Step 3: Cross multiply
    1,096.93x = 1,513.17 × 697.87
  4. Step 4: Simplify right side
    1,096.93x = 1,055,995.95
  5. Step 5: Solve for x
    x = 1,055,995.95/1,096.93
  6. Step 6: Final answer
    x = 962.68

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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.