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Finding the Fourth Proportional to 758.54, 1,138 and 271.64

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Solution

The fourth proportional to 758.54, 1,138 and 271.64 is: 407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.54 : 1,138 = 271.64 : x
  2. Step 2: Convert to fraction form
    758.54/1,138 = 271.64/x
  3. Step 3: Cross multiply
    758.54x = 1,138 × 271.64
  4. Step 4: Simplify right side
    758.54x = 309,126.32
  5. Step 5: Solve for x
    x = 309,126.32/758.54
  6. Step 6: Final answer
    x = 407.53

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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.