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Finding the Fourth Proportional to 872.23, 1,308.65 and 547.21

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Solution

The fourth proportional to 872.23, 1,308.65 and 547.21 is: 821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.23 : 1,308.65 = 547.21 : x
  2. Step 2: Convert to fraction form
    872.23/1,308.65 = 547.21/x
  3. Step 3: Cross multiply
    872.23x = 1,308.65 × 547.21
  4. Step 4: Simplify right side
    872.23x = 716,106.37
  5. Step 5: Solve for x
    x = 716,106.37/872.23
  6. Step 6: Final answer
    x = 821.01

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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.