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Finding the Fourth Proportional to 1,405.97, 2,107.34 and 856.93

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Solution

The fourth proportional to 1,405.97, 2,107.34 and 856.93 is: 1,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.97 : 2,107.34 = 856.93 : x
  2. Step 2: Convert to fraction form
    1,405.97/2,107.34 = 856.93/x
  3. Step 3: Cross multiply
    1,405.97x = 2,107.34 × 856.93
  4. Step 4: Simplify right side
    1,405.97x = 1,805,842.87
  5. Step 5: Solve for x
    x = 1,805,842.87/1,405.97
  6. Step 6: Final answer
    x = 1,284.41

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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.