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Finding the Fourth Proportional to 882.10, 1,215.84 and 633.03

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Solution

The fourth proportional to 882.10, 1,215.84 and 633.03 is: 872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.10 : 1,215.84 = 633.03 : x
  2. Step 2: Convert to fraction form
    882.10/1,215.84 = 633.03/x
  3. Step 3: Cross multiply
    882.10x = 1,215.84 × 633.03
  4. Step 4: Simplify right side
    882.10x = 769,663.20
  5. Step 5: Solve for x
    x = 769,663.20/882.10
  6. Step 6: Final answer
    x = 872.54

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1.5x scale

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.