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Finding the Fourth Proportional to 1,091.07, 1,632.56 and 658.53

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Solution

The fourth proportional to 1,091.07, 1,632.56 and 658.53 is: 985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.07 : 1,632.56 = 658.53 : x
  2. Step 2: Convert to fraction form
    1,091.07/1,632.56 = 658.53/x
  3. Step 3: Cross multiply
    1,091.07x = 1,632.56 × 658.53
  4. Step 4: Simplify right side
    1,091.07x = 1,075,086.44
  5. Step 5: Solve for x
    x = 1,075,086.44/1,091.07
  6. Step 6: Final answer
    x = 985.35

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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.