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Finding the Fourth Proportional to 1,400.57, 1,932.68 and 810.99

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Solution

The fourth proportional to 1,400.57, 1,932.68 and 810.99 is: 1,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.57 : 1,932.68 = 810.99 : x
  2. Step 2: Convert to fraction form
    1,400.57/1,932.68 = 810.99/x
  3. Step 3: Cross multiply
    1,400.57x = 1,932.68 × 810.99
  4. Step 4: Simplify right side
    1,400.57x = 1,567,380.10
  5. Step 5: Solve for x
    x = 1,567,380.10/1,400.57
  6. Step 6: Final answer
    x = 1,119.11

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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.