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Finding the Fourth Proportional to 872.82, 1,307.16 and 829.71

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Solution

The fourth proportional to 872.82, 1,307.16 and 829.71 is: 1,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.82 : 1,307.16 = 829.71 : x
  2. Step 2: Convert to fraction form
    872.82/1,307.16 = 829.71/x
  3. Step 3: Cross multiply
    872.82x = 1,307.16 × 829.71
  4. Step 4: Simplify right side
    872.82x = 1,084,563.72
  5. Step 5: Solve for x
    x = 1,084,563.72/872.82
  6. Step 6: Final answer
    x = 1,242.60

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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.