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Finding the Fourth Proportional to 1,014.21, 1,517.87 and 643.84

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Solution

The fourth proportional to 1,014.21, 1,517.87 and 643.84 is: 963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.21 : 1,517.87 = 643.84 : x
  2. Step 2: Convert to fraction form
    1,014.21/1,517.87 = 643.84/x
  3. Step 3: Cross multiply
    1,014.21x = 1,517.87 × 643.84
  4. Step 4: Simplify right side
    1,014.21x = 977,263.24
  5. Step 5: Solve for x
    x = 977,263.24/1,014.21
  6. Step 6: Final answer
    x = 963.57

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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.