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Finding the Fourth Proportional to 1,084.31, 1,627.07 and 776.81

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Solution

The fourth proportional to 1,084.31, 1,627.07 and 776.81 is: 1,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.31 : 1,627.07 = 776.81 : x
  2. Step 2: Convert to fraction form
    1,084.31/1,627.07 = 776.81/x
  3. Step 3: Cross multiply
    1,084.31x = 1,627.07 × 776.81
  4. Step 4: Simplify right side
    1,084.31x = 1,263,924.25
  5. Step 5: Solve for x
    x = 1,263,924.25/1,084.31
  6. Step 6: Final answer
    x = 1,165.65

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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.