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Finding the Fourth Proportional to 872.02, 1,203.15 and 561.70

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Solution

The fourth proportional to 872.02, 1,203.15 and 561.70 is: 774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.02 : 1,203.15 = 561.70 : x
  2. Step 2: Convert to fraction form
    872.02/1,203.15 = 561.70/x
  3. Step 3: Cross multiply
    872.02x = 1,203.15 × 561.70
  4. Step 4: Simplify right side
    872.02x = 675,809.36
  5. Step 5: Solve for x
    x = 675,809.36/872.02
  6. Step 6: Final answer
    x = 774.99

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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.