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Finding the Fourth Proportional to 989.13, 1,364.70 and 767.70

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Solution

The fourth proportional to 989.13, 1,364.70 and 767.70 is: 1,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.13 : 1,364.70 = 767.70 : x
  2. Step 2: Convert to fraction form
    989.13/1,364.70 = 767.70/x
  3. Step 3: Cross multiply
    989.13x = 1,364.70 × 767.70
  4. Step 4: Simplify right side
    989.13x = 1,047,680.19
  5. Step 5: Solve for x
    x = 1,047,680.19/989.13
  6. Step 6: Final answer
    x = 1,059.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.