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Finding the Fourth Proportional to 1,302.16, 1,796.30 and 882.52

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Solution

The fourth proportional to 1,302.16, 1,796.30 and 882.52 is: 1,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.16 : 1,796.30 = 882.52 : x
  2. Step 2: Convert to fraction form
    1,302.16/1,796.30 = 882.52/x
  3. Step 3: Cross multiply
    1,302.16x = 1,796.30 × 882.52
  4. Step 4: Simplify right side
    1,302.16x = 1,585,270.68
  5. Step 5: Solve for x
    x = 1,585,270.68/1,302.16
  6. Step 6: Final answer
    x = 1,217.42

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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.