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Finding the Fourth Proportional to 1,096.61, 1,635.73 and 979.97

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Solution

The fourth proportional to 1,096.61, 1,635.73 and 979.97 is: 1,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.61 : 1,635.73 = 979.97 : x
  2. Step 2: Convert to fraction form
    1,096.61/1,635.73 = 979.97/x
  3. Step 3: Cross multiply
    1,096.61x = 1,635.73 × 979.97
  4. Step 4: Simplify right side
    1,096.61x = 1,602,955.70
  5. Step 5: Solve for x
    x = 1,602,955.70/1,096.61
  6. Step 6: Final answer
    x = 1,461.74

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Why These Related Problems?

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