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Finding the Fourth Proportional to 1,393.96, 1,923.78 and 869.96

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Solution

The fourth proportional to 1,393.96, 1,923.78 and 869.96 is: 1,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.96 : 1,923.78 = 869.96 : x
  2. Step 2: Convert to fraction form
    1,393.96/1,923.78 = 869.96/x
  3. Step 3: Cross multiply
    1,393.96x = 1,923.78 × 869.96
  4. Step 4: Simplify right side
    1,393.96x = 1,673,611.65
  5. Step 5: Solve for x
    x = 1,673,611.65/1,393.96
  6. Step 6: Final answer
    x = 1,200.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.