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Finding the Fourth Proportional to 735.11, 1,102.67 and 393.11

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Solution

The fourth proportional to 735.11, 1,102.67 and 393.11 is: 589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.11 : 1,102.67 = 393.11 : x
  2. Step 2: Convert to fraction form
    735.11/1,102.67 = 393.11/x
  3. Step 3: Cross multiply
    735.11x = 1,102.67 × 393.11
  4. Step 4: Simplify right side
    735.11x = 433,470.60
  5. Step 5: Solve for x
    x = 433,470.60/735.11
  6. Step 6: Final answer
    x = 589.67

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Double scale
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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.