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Finding the Fourth Proportional to 1,815.57, 2,723.71 and 645.62

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Solution

The fourth proportional to 1,815.57, 2,723.71 and 645.62 is: 968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.57 : 2,723.71 = 645.62 : x
  2. Step 2: Convert to fraction form
    1,815.57/2,723.71 = 645.62/x
  3. Step 3: Cross multiply
    1,815.57x = 2,723.71 × 645.62
  4. Step 4: Simplify right side
    1,815.57x = 1,758,486.85
  5. Step 5: Solve for x
    x = 1,758,486.85/1,815.57
  6. Step 6: Final answer
    x = 968.56

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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.