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Finding the Fourth Proportional to 1,247.59, 1,870.27 and 516.70

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Solution

The fourth proportional to 1,247.59, 1,870.27 and 516.70 is: 774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.59 : 1,870.27 = 516.70 : x
  2. Step 2: Convert to fraction form
    1,247.59/1,870.27 = 516.70/x
  3. Step 3: Cross multiply
    1,247.59x = 1,870.27 × 516.70
  4. Step 4: Simplify right side
    1,247.59x = 966,368.51
  5. Step 5: Solve for x
    x = 966,368.51/1,247.59
  6. Step 6: Final answer
    x = 774.59

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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.