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Finding the Fourth Proportional to 1,118.29, 1,676.75 and 533.47

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Solution

The fourth proportional to 1,118.29, 1,676.75 and 533.47 is: 799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.29 : 1,676.75 = 533.47 : x
  2. Step 2: Convert to fraction form
    1,118.29/1,676.75 = 533.47/x
  3. Step 3: Cross multiply
    1,118.29x = 1,676.75 × 533.47
  4. Step 4: Simplify right side
    1,118.29x = 894,495.82
  5. Step 5: Solve for x
    x = 894,495.82/1,118.29
  6. Step 6: Final answer
    x = 799.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.