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Finding the Fourth Proportional to 1,107.66, 1,660.05 and 846.70

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Solution

The fourth proportional to 1,107.66, 1,660.05 and 846.70 is: 1,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.66 : 1,660.05 = 846.70 : x
  2. Step 2: Convert to fraction form
    1,107.66/1,660.05 = 846.70/x
  3. Step 3: Cross multiply
    1,107.66x = 1,660.05 × 846.70
  4. Step 4: Simplify right side
    1,107.66x = 1,405,564.34
  5. Step 5: Solve for x
    x = 1,405,564.34/1,107.66
  6. Step 6: Final answer
    x = 1,268.95

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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.