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Finding the Fourth Proportional to 735, 1,014.75 and 473.49

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Solution

The fourth proportional to 735, 1,014.75 and 473.49 is: 653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 1,014.75 = 473.49 : x
  2. Step 2: Convert to fraction form
    735/1,014.75 = 473.49/x
  3. Step 3: Cross multiply
    735x = 1,014.75 × 473.49
  4. Step 4: Simplify right side
    735x = 480,473.98
  5. Step 5: Solve for x
    x = 480,473.98/735
  6. Step 6: Final answer
    x = 653.71

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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.