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Finding the Fourth Proportional to 1,005.79, 1,508.44 and 275.22

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Solution

The fourth proportional to 1,005.79, 1,508.44 and 275.22 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.79 : 1,508.44 = 275.22 : x
  2. Step 2: Convert to fraction form
    1,005.79/1,508.44 = 275.22/x
  3. Step 3: Cross multiply
    1,005.79x = 1,508.44 × 275.22
  4. Step 4: Simplify right side
    1,005.79x = 415,152.86
  5. Step 5: Solve for x
    x = 415,152.86/1,005.79
  6. Step 6: Final answer
    x = 412.76

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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.