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Finding the Fourth Proportional to 797.78, 1,101.31 and 532.66

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Solution

The fourth proportional to 797.78, 1,101.31 and 532.66 is: 735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.78 : 1,101.31 = 532.66 : x
  2. Step 2: Convert to fraction form
    797.78/1,101.31 = 532.66/x
  3. Step 3: Cross multiply
    797.78x = 1,101.31 × 532.66
  4. Step 4: Simplify right side
    797.78x = 586,623.78
  5. Step 5: Solve for x
    x = 586,623.78/797.78
  6. Step 6: Final answer
    x = 735.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.