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Finding the Fourth Proportional to 1,813.14, 2,719.78 and 643.27

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Solution

The fourth proportional to 1,813.14, 2,719.78 and 643.27 is: 964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.14 : 2,719.78 = 643.27 : x
  2. Step 2: Convert to fraction form
    1,813.14/2,719.78 = 643.27/x
  3. Step 3: Cross multiply
    1,813.14x = 2,719.78 × 643.27
  4. Step 4: Simplify right side
    1,813.14x = 1,749,552.88
  5. Step 5: Solve for x
    x = 1,749,552.88/1,813.14
  6. Step 6: Final answer
    x = 964.93

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1.5x scale

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.