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Finding the Fourth Proportional to 795.54, 1,100.16 and 697.11

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Solution

The fourth proportional to 795.54, 1,100.16 and 697.11 is: 964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.54 : 1,100.16 = 697.11 : x
  2. Step 2: Convert to fraction form
    795.54/1,100.16 = 697.11/x
  3. Step 3: Cross multiply
    795.54x = 1,100.16 × 697.11
  4. Step 4: Simplify right side
    795.54x = 766,932.54
  5. Step 5: Solve for x
    x = 766,932.54/795.54
  6. Step 6: Final answer
    x = 964.04

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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.