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Finding the Fourth Proportional to 1,789.79, 2,685.74 and 694.10

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Solution

The fourth proportional to 1,789.79, 2,685.74 and 694.10 is: 1,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.79 : 2,685.74 = 694.10 : x
  2. Step 2: Convert to fraction form
    1,789.79/2,685.74 = 694.10/x
  3. Step 3: Cross multiply
    1,789.79x = 2,685.74 × 694.10
  4. Step 4: Simplify right side
    1,789.79x = 1,864,172.13
  5. Step 5: Solve for x
    x = 1,864,172.13/1,789.79
  6. Step 6: Final answer
    x = 1,041.56

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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.