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Finding the Fourth Proportional to 737.28, 1,106.28 and 463.68

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Solution

The fourth proportional to 737.28, 1,106.28 and 463.68 is: 695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.28 : 1,106.28 = 463.68 : x
  2. Step 2: Convert to fraction form
    737.28/1,106.28 = 463.68/x
  3. Step 3: Cross multiply
    737.28x = 1,106.28 × 463.68
  4. Step 4: Simplify right side
    737.28x = 512,959.91
  5. Step 5: Solve for x
    x = 512,959.91/737.28
  6. Step 6: Final answer
    x = 695.75

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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.