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Finding the Fourth Proportional to 737.96, 1,107.30 and 464.18

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Solution

The fourth proportional to 737.96, 1,107.30 and 464.18 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.96 : 1,107.30 = 464.18 : x
  2. Step 2: Convert to fraction form
    737.96/1,107.30 = 464.18/x
  3. Step 3: Cross multiply
    737.96x = 1,107.30 × 464.18
  4. Step 4: Simplify right side
    737.96x = 513,985.13
  5. Step 5: Solve for x
    x = 513,985.13/737.96
  6. Step 6: Final answer
    x = 696.50

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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.