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Finding the Fourth Proportional to 1,096.65, 1,646.12 and 635.33

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Solution

The fourth proportional to 1,096.65, 1,646.12 and 635.33 is: 953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.65 : 1,646.12 = 635.33 : x
  2. Step 2: Convert to fraction form
    1,096.65/1,646.12 = 635.33/x
  3. Step 3: Cross multiply
    1,096.65x = 1,646.12 × 635.33
  4. Step 4: Simplify right side
    1,096.65x = 1,045,828.79
  5. Step 5: Solve for x
    x = 1,045,828.79/1,096.65
  6. Step 6: Final answer
    x = 953.66

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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.