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Finding the Fourth Proportional to 735.15, 1,102.00 and 368.82

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Solution

The fourth proportional to 735.15, 1,102.00 and 368.82 is: 552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.15 : 1,102.00 = 368.82 : x
  2. Step 2: Convert to fraction form
    735.15/1,102.00 = 368.82/x
  3. Step 3: Cross multiply
    735.15x = 1,102.00 × 368.82
  4. Step 4: Simplify right side
    735.15x = 406,437.80
  5. Step 5: Solve for x
    x = 406,437.80/735.15
  6. Step 6: Final answer
    x = 552.86

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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.