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Finding the Fourth Proportional to 758.72, 1,138.68 and 529.22

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Solution

The fourth proportional to 758.72, 1,138.68 and 529.22 is: 794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.72 : 1,138.68 = 529.22 : x
  2. Step 2: Convert to fraction form
    758.72/1,138.68 = 529.22/x
  3. Step 3: Cross multiply
    758.72x = 1,138.68 × 529.22
  4. Step 4: Simplify right side
    758.72x = 602,612.23
  5. Step 5: Solve for x
    x = 602,612.23/758.72
  6. Step 6: Final answer
    x = 794.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.