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Finding the Fourth Proportional to 1,096.70, 1,641.85 and 968.70

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Solution

The fourth proportional to 1,096.70, 1,641.85 and 968.70 is: 1,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.70 : 1,641.85 = 968.70 : x
  2. Step 2: Convert to fraction form
    1,096.70/1,641.85 = 968.70/x
  3. Step 3: Cross multiply
    1,096.70x = 1,641.85 × 968.70
  4. Step 4: Simplify right side
    1,096.70x = 1,590,460.10
  5. Step 5: Solve for x
    x = 1,590,460.10/1,096.70
  6. Step 6: Final answer
    x = 1,450.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.