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Finding the Fourth Proportional to 1,247.59, 1,722.27 and 856.63

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Solution

The fourth proportional to 1,247.59, 1,722.27 and 856.63 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.59 : 1,722.27 = 856.63 : x
  2. Step 2: Convert to fraction form
    1,247.59/1,722.27 = 856.63/x
  3. Step 3: Cross multiply
    1,247.59x = 1,722.27 × 856.63
  4. Step 4: Simplify right side
    1,247.59x = 1,475,348.15
  5. Step 5: Solve for x
    x = 1,475,348.15/1,247.59
  6. Step 6: Final answer
    x = 1,182.56

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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.