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Finding the Fourth Proportional to 735.06, 1,013.94 and 472.98

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Solution

The fourth proportional to 735.06, 1,013.94 and 472.98 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.06 : 1,013.94 = 472.98 : x
  2. Step 2: Convert to fraction form
    735.06/1,013.94 = 472.98/x
  3. Step 3: Cross multiply
    735.06x = 1,013.94 × 472.98
  4. Step 4: Simplify right side
    735.06x = 479,573.34
  5. Step 5: Solve for x
    x = 479,573.34/735.06
  6. Step 6: Final answer
    x = 652.43

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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.