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Finding the Fourth Proportional to 1,247.58, 1,871.70 and 516.98

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Solution

The fourth proportional to 1,247.58, 1,871.70 and 516.98 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.58 : 1,871.70 = 516.98 : x
  2. Step 2: Convert to fraction form
    1,247.58/1,871.70 = 516.98/x
  3. Step 3: Cross multiply
    1,247.58x = 1,871.70 × 516.98
  4. Step 4: Simplify right side
    1,247.58x = 967,622.11
  5. Step 5: Solve for x
    x = 967,622.11/1,247.58
  6. Step 6: Final answer
    x = 775.60

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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.