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Finding the Fourth Proportional to 758.34, 1,137.42 and 563.58

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Solution

The fourth proportional to 758.34, 1,137.42 and 563.58 is: 845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.34 : 1,137.42 = 563.58 : x
  2. Step 2: Convert to fraction form
    758.34/1,137.42 = 563.58/x
  3. Step 3: Cross multiply
    758.34x = 1,137.42 × 563.58
  4. Step 4: Simplify right side
    758.34x = 641,027.16
  5. Step 5: Solve for x
    x = 641,027.16/758.34
  6. Step 6: Final answer
    x = 845.30

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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.