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Finding the Fourth Proportional to 735.32, 1,102.98 and 637.51

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Solution

The fourth proportional to 735.32, 1,102.98 and 637.51 is: 956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.32 : 1,102.98 = 637.51 : x
  2. Step 2: Convert to fraction form
    735.32/1,102.98 = 637.51/x
  3. Step 3: Cross multiply
    735.32x = 1,102.98 × 637.51
  4. Step 4: Simplify right side
    735.32x = 703,160.78
  5. Step 5: Solve for x
    x = 703,160.78/735.32
  6. Step 6: Final answer
    x = 956.27

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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.