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Finding the Fourth Proportional to 735.42, 1,102.47 and 427.53

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Solution

The fourth proportional to 735.42, 1,102.47 and 427.53 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.42 : 1,102.47 = 427.53 : x
  2. Step 2: Convert to fraction form
    735.42/1,102.47 = 427.53/x
  3. Step 3: Cross multiply
    735.42x = 1,102.47 × 427.53
  4. Step 4: Simplify right side
    735.42x = 471,339.00
  5. Step 5: Solve for x
    x = 471,339.00/735.42
  6. Step 6: Final answer
    x = 640.91

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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.