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Finding the Fourth Proportional to 872.13, 1,203.56 and 536.00

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Solution

The fourth proportional to 872.13, 1,203.56 and 536.00 is: 739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.13 : 1,203.56 = 536.00 : x
  2. Step 2: Convert to fraction form
    872.13/1,203.56 = 536.00/x
  3. Step 3: Cross multiply
    872.13x = 1,203.56 × 536.00
  4. Step 4: Simplify right side
    872.13x = 645,099.46
  5. Step 5: Solve for x
    x = 645,099.46/872.13
  6. Step 6: Final answer
    x = 739.68

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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.