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Finding the Fourth Proportional to 735.02, 1,100.93 and 457.44

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Solution

The fourth proportional to 735.02, 1,100.93 and 457.44 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.02 : 1,100.93 = 457.44 : x
  2. Step 2: Convert to fraction form
    735.02/1,100.93 = 457.44/x
  3. Step 3: Cross multiply
    735.02x = 1,100.93 × 457.44
  4. Step 4: Simplify right side
    735.02x = 503,607.13
  5. Step 5: Solve for x
    x = 503,607.13/735.02
  6. Step 6: Final answer
    x = 685.17

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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.