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Finding the Fourth Proportional to 1,143.81, 1,701.03 and 1,107.36

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Solution

The fourth proportional to 1,143.81, 1,701.03 and 1,107.36 is: 1,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.81 : 1,701.03 = 1,107.36 : x
  2. Step 2: Convert to fraction form
    1,143.81/1,701.03 = 1,107.36/x
  3. Step 3: Cross multiply
    1,143.81x = 1,701.03 × 1,107.36
  4. Step 4: Simplify right side
    1,143.81x = 1,883,652.58
  5. Step 5: Solve for x
    x = 1,883,652.58/1,143.81
  6. Step 6: Final answer
    x = 1,646.82

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1.5x scale

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.