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Finding the Fourth Proportional to 735.16, 1,101.50 and 518.34

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Solution

The fourth proportional to 735.16, 1,101.50 and 518.34 is: 776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.16 : 1,101.50 = 518.34 : x
  2. Step 2: Convert to fraction form
    735.16/1,101.50 = 518.34/x
  3. Step 3: Cross multiply
    735.16x = 1,101.50 × 518.34
  4. Step 4: Simplify right side
    735.16x = 570,951.51
  5. Step 5: Solve for x
    x = 570,951.51/735.16
  6. Step 6: Final answer
    x = 776.64

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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.