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Finding the Fourth Proportional to 1,399.57, 1,931.49 and 810.31

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Solution

The fourth proportional to 1,399.57, 1,931.49 and 810.31 is: 1,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.57 : 1,931.49 = 810.31 : x
  2. Step 2: Convert to fraction form
    1,399.57/1,931.49 = 810.31/x
  3. Step 3: Cross multiply
    1,399.57x = 1,931.49 × 810.31
  4. Step 4: Simplify right side
    1,399.57x = 1,565,091.95
  5. Step 5: Solve for x
    x = 1,565,091.95/1,399.57
  6. Step 6: Final answer
    x = 1,118.27

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