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Finding the Fourth Proportional to 735.81, 1,102.94 and 562.10

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Solution

The fourth proportional to 735.81, 1,102.94 and 562.10 is: 842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.81 : 1,102.94 = 562.10 : x
  2. Step 2: Convert to fraction form
    735.81/1,102.94 = 562.10/x
  3. Step 3: Cross multiply
    735.81x = 1,102.94 × 562.10
  4. Step 4: Simplify right side
    735.81x = 619,962.57
  5. Step 5: Solve for x
    x = 619,962.57/735.81
  6. Step 6: Final answer
    x = 842.56

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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.