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Finding the Fourth Proportional to 631.70, 872.45 and 563.02

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Solution

The fourth proportional to 631.70, 872.45 and 563.02 is: 777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.70 : 872.45 = 563.02 : x
  2. Step 2: Convert to fraction form
    631.70/872.45 = 563.02/x
  3. Step 3: Cross multiply
    631.70x = 872.45 × 563.02
  4. Step 4: Simplify right side
    631.70x = 491,206.80
  5. Step 5: Solve for x
    x = 491,206.80/631.70
  6. Step 6: Final answer
    x = 777.60

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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.