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Finding the Fourth Proportional to 737.04, 1,016.70 and 460.56

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Solution

The fourth proportional to 737.04, 1,016.70 and 460.56 is: 635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.04 : 1,016.70 = 460.56 : x
  2. Step 2: Convert to fraction form
    737.04/1,016.70 = 460.56/x
  3. Step 3: Cross multiply
    737.04x = 1,016.70 × 460.56
  4. Step 4: Simplify right side
    737.04x = 468,251.59
  5. Step 5: Solve for x
    x = 468,251.59/737.04
  6. Step 6: Final answer
    x = 635.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.