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Finding the Fourth Proportional to 759.55, 1,138.65 and 297.64

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Solution

The fourth proportional to 759.55, 1,138.65 and 297.64 is: 446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.55 : 1,138.65 = 297.64 : x
  2. Step 2: Convert to fraction form
    759.55/1,138.65 = 297.64/x
  3. Step 3: Cross multiply
    759.55x = 1,138.65 × 297.64
  4. Step 4: Simplify right side
    759.55x = 338,907.79
  5. Step 5: Solve for x
    x = 338,907.79/759.55
  6. Step 6: Final answer
    x = 446.20

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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.