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Finding the Fourth Proportional to 882.44, 1,215.36 and 749.48

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Solution

The fourth proportional to 882.44, 1,215.36 and 749.48 is: 1,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.44 : 1,215.36 = 749.48 : x
  2. Step 2: Convert to fraction form
    882.44/1,215.36 = 749.48/x
  3. Step 3: Cross multiply
    882.44x = 1,215.36 × 749.48
  4. Step 4: Simplify right side
    882.44x = 910,888.01
  5. Step 5: Solve for x
    x = 910,888.01/882.44
  6. Step 6: Final answer
    x = 1,032.24

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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.