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Finding the Fourth Proportional to 735.70, 1,102.55 and 406.15

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Solution

The fourth proportional to 735.70, 1,102.55 and 406.15 is: 608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.70 : 1,102.55 = 406.15 : x
  2. Step 2: Convert to fraction form
    735.70/1,102.55 = 406.15/x
  3. Step 3: Cross multiply
    735.70x = 1,102.55 × 406.15
  4. Step 4: Simplify right side
    735.70x = 447,796.71
  5. Step 5: Solve for x
    x = 447,796.71/735.70
  6. Step 6: Final answer
    x = 608.67

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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.