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Finding the Fourth Proportional to 737.86, 1,108.20 and 464.50

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Solution

The fourth proportional to 737.86, 1,108.20 and 464.50 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.86 : 1,108.20 = 464.50 : x
  2. Step 2: Convert to fraction form
    737.86/1,108.20 = 464.50/x
  3. Step 3: Cross multiply
    737.86x = 1,108.20 × 464.50
  4. Step 4: Simplify right side
    737.86x = 514,758.90
  5. Step 5: Solve for x
    x = 514,758.90/737.86
  6. Step 6: Final answer
    x = 697.64

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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.