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Finding the Fourth Proportional to 758.10, 1,137.14 and 523.61

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Solution

The fourth proportional to 758.10, 1,137.14 and 523.61 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.10 : 1,137.14 = 523.61 : x
  2. Step 2: Convert to fraction form
    758.10/1,137.14 = 523.61/x
  3. Step 3: Cross multiply
    758.10x = 1,137.14 × 523.61
  4. Step 4: Simplify right side
    758.10x = 595,412.19
  5. Step 5: Solve for x
    x = 595,412.19/758.10
  6. Step 6: Final answer
    x = 785.40

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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.