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Finding the Fourth Proportional to 1,138.11, 1,707.39 and 521.84

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Solution

The fourth proportional to 1,138.11, 1,707.39 and 521.84 is: 782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.11 : 1,707.39 = 521.84 : x
  2. Step 2: Convert to fraction form
    1,138.11/1,707.39 = 521.84/x
  3. Step 3: Cross multiply
    1,138.11x = 1,707.39 × 521.84
  4. Step 4: Simplify right side
    1,138.11x = 890,984.40
  5. Step 5: Solve for x
    x = 890,984.40/1,138.11
  6. Step 6: Final answer
    x = 782.86

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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.