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Finding the Fourth Proportional to 1,399.92, 1,931.82 and 810.42

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Solution

The fourth proportional to 1,399.92, 1,931.82 and 810.42 is: 1,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.92 : 1,931.82 = 810.42 : x
  2. Step 2: Convert to fraction form
    1,399.92/1,931.82 = 810.42/x
  3. Step 3: Cross multiply
    1,399.92x = 1,931.82 × 810.42
  4. Step 4: Simplify right side
    1,399.92x = 1,565,585.56
  5. Step 5: Solve for x
    x = 1,565,585.56/1,399.92
  6. Step 6: Final answer
    x = 1,118.34

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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.