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Finding the Fourth Proportional to 1,406.46, 2,107.36 and 856.98

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Solution

The fourth proportional to 1,406.46, 2,107.36 and 856.98 is: 1,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.46 : 2,107.36 = 856.98 : x
  2. Step 2: Convert to fraction form
    1,406.46/2,107.36 = 856.98/x
  3. Step 3: Cross multiply
    1,406.46x = 2,107.36 × 856.98
  4. Step 4: Simplify right side
    1,406.46x = 1,805,965.37
  5. Step 5: Solve for x
    x = 1,805,965.37/1,406.46
  6. Step 6: Final answer
    x = 1,284.05

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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.