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Finding the Fourth Proportional to 1,857.39, 2,785.20 and 687.34

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Solution

The fourth proportional to 1,857.39, 2,785.20 and 687.34 is: 1,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.39 : 2,785.20 = 687.34 : x
  2. Step 2: Convert to fraction form
    1,857.39/2,785.20 = 687.34/x
  3. Step 3: Cross multiply
    1,857.39x = 2,785.20 × 687.34
  4. Step 4: Simplify right side
    1,857.39x = 1,914,379.37
  5. Step 5: Solve for x
    x = 1,914,379.37/1,857.39
  6. Step 6: Final answer
    x = 1,030.68

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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.