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Finding the Fourth Proportional to 1,096.34, 1,636.02 and 979.53

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Solution

The fourth proportional to 1,096.34, 1,636.02 and 979.53 is: 1,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.34 : 1,636.02 = 979.53 : x
  2. Step 2: Convert to fraction form
    1,096.34/1,636.02 = 979.53/x
  3. Step 3: Cross multiply
    1,096.34x = 1,636.02 × 979.53
  4. Step 4: Simplify right side
    1,096.34x = 1,602,530.67
  5. Step 5: Solve for x
    x = 1,602,530.67/1,096.34
  6. Step 6: Final answer
    x = 1,461.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.