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Finding the Fourth Proportional to 739.58, 1,107.57 and 522.14

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Solution

The fourth proportional to 739.58, 1,107.57 and 522.14 is: 781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.58 : 1,107.57 = 522.14 : x
  2. Step 2: Convert to fraction form
    739.58/1,107.57 = 522.14/x
  3. Step 3: Cross multiply
    739.58x = 1,107.57 × 522.14
  4. Step 4: Simplify right side
    739.58x = 578,306.60
  5. Step 5: Solve for x
    x = 578,306.60/739.58
  6. Step 6: Final answer
    x = 781.94

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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.