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Finding the Fourth Proportional to 1,005.44, 1,508.63 and 356.48

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Solution

The fourth proportional to 1,005.44, 1,508.63 and 356.48 is: 534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.44 : 1,508.63 = 356.48 : x
  2. Step 2: Convert to fraction form
    1,005.44/1,508.63 = 356.48/x
  3. Step 3: Cross multiply
    1,005.44x = 1,508.63 × 356.48
  4. Step 4: Simplify right side
    1,005.44x = 537,789.77
  5. Step 5: Solve for x
    x = 537,789.77/1,005.44
  6. Step 6: Final answer
    x = 534.88

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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.