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Finding the Fourth Proportional to 872.24, 1,308.90 and 782.60

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Solution

The fourth proportional to 872.24, 1,308.90 and 782.60 is: 1,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,308.90 = 782.60 : x
  2. Step 2: Convert to fraction form
    872.24/1,308.90 = 782.60/x
  3. Step 3: Cross multiply
    872.24x = 1,308.90 × 782.60
  4. Step 4: Simplify right side
    872.24x = 1,024,345.14
  5. Step 5: Solve for x
    x = 1,024,345.14/872.24
  6. Step 6: Final answer
    x = 1,174.38

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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.