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Finding the Fourth Proportional to 1,247.40, 1,871.64 and 517.14

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Solution

The fourth proportional to 1,247.40, 1,871.64 and 517.14 is: 775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.40 : 1,871.64 = 517.14 : x
  2. Step 2: Convert to fraction form
    1,247.40/1,871.64 = 517.14/x
  3. Step 3: Cross multiply
    1,247.40x = 1,871.64 × 517.14
  4. Step 4: Simplify right side
    1,247.40x = 967,899.91
  5. Step 5: Solve for x
    x = 967,899.91/1,247.40
  6. Step 6: Final answer
    x = 775.93

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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.