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Finding the Fourth Proportional to 868.06, 1,198.01 and 536.52

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Solution

The fourth proportional to 868.06, 1,198.01 and 536.52 is: 740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.06 : 1,198.01 = 536.52 : x
  2. Step 2: Convert to fraction form
    868.06/1,198.01 = 536.52/x
  3. Step 3: Cross multiply
    868.06x = 1,198.01 × 536.52
  4. Step 4: Simplify right side
    868.06x = 642,762.16
  5. Step 5: Solve for x
    x = 642,762.16/868.06
  6. Step 6: Final answer
    x = 740.46

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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.