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Finding the Fourth Proportional to 1,043.82, 1,566.22 and 458.76

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Solution

The fourth proportional to 1,043.82, 1,566.22 and 458.76 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.82 : 1,566.22 = 458.76 : x
  2. Step 2: Convert to fraction form
    1,043.82/1,566.22 = 458.76/x
  3. Step 3: Cross multiply
    1,043.82x = 1,566.22 × 458.76
  4. Step 4: Simplify right side
    1,043.82x = 718,519.09
  5. Step 5: Solve for x
    x = 718,519.09/1,043.82
  6. Step 6: Final answer
    x = 688.36

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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.