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Finding the Fourth Proportional to 1,314.71, 1,970.84 and 1,200.56

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Solution

The fourth proportional to 1,314.71, 1,970.84 and 1,200.56 is: 1,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.71 : 1,970.84 = 1,200.56 : x
  2. Step 2: Convert to fraction form
    1,314.71/1,970.84 = 1,200.56/x
  3. Step 3: Cross multiply
    1,314.71x = 1,970.84 × 1,200.56
  4. Step 4: Simplify right side
    1,314.71x = 2,366,095.81
  5. Step 5: Solve for x
    x = 2,366,095.81/1,314.71
  6. Step 6: Final answer
    x = 1,799.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.