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Finding the Fourth Proportional to 882.56, 1,218.07 and 533.45

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Solution

The fourth proportional to 882.56, 1,218.07 and 533.45 is: 736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.56 : 1,218.07 = 533.45 : x
  2. Step 2: Convert to fraction form
    882.56/1,218.07 = 533.45/x
  3. Step 3: Cross multiply
    882.56x = 1,218.07 × 533.45
  4. Step 4: Simplify right side
    882.56x = 649,783.15
  5. Step 5: Solve for x
    x = 649,783.15/882.56
  6. Step 6: Final answer
    x = 736.25

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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.