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Finding the Fourth Proportional to 1,096.83, 1,643.63 and 658.17

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Solution

The fourth proportional to 1,096.83, 1,643.63 and 658.17 is: 986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.83 : 1,643.63 = 658.17 : x
  2. Step 2: Convert to fraction form
    1,096.83/1,643.63 = 658.17/x
  3. Step 3: Cross multiply
    1,096.83x = 1,643.63 × 658.17
  4. Step 4: Simplify right side
    1,096.83x = 1,081,784.67
  5. Step 5: Solve for x
    x = 1,081,784.67/1,096.83
  6. Step 6: Final answer
    x = 986.28

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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.