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Finding the Fourth Proportional to 735.88, 1,102.14 and 351.40

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Solution

The fourth proportional to 735.88, 1,102.14 and 351.40 is: 526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.88 : 1,102.14 = 351.40 : x
  2. Step 2: Convert to fraction form
    735.88/1,102.14 = 351.40/x
  3. Step 3: Cross multiply
    735.88x = 1,102.14 × 351.40
  4. Step 4: Simplify right side
    735.88x = 387,292.00
  5. Step 5: Solve for x
    x = 387,292.00/735.88
  6. Step 6: Final answer
    x = 526.30

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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.