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Finding the Fourth Proportional to 735.56, 1,102.10 and 364.88

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Solution

The fourth proportional to 735.56, 1,102.10 and 364.88 is: 546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.56 : 1,102.10 = 364.88 : x
  2. Step 2: Convert to fraction form
    735.56/1,102.10 = 364.88/x
  3. Step 3: Cross multiply
    735.56x = 1,102.10 × 364.88
  4. Step 4: Simplify right side
    735.56x = 402,134.25
  5. Step 5: Solve for x
    x = 402,134.25/735.56
  6. Step 6: Final answer
    x = 546.70

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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.