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Finding the Fourth Proportional to 1,039.16, 1,558.64 and 269.66

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Solution

The fourth proportional to 1,039.16, 1,558.64 and 269.66 is: 404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.16 : 1,558.64 = 269.66 : x
  2. Step 2: Convert to fraction form
    1,039.16/1,558.64 = 269.66/x
  3. Step 3: Cross multiply
    1,039.16x = 1,558.64 × 269.66
  4. Step 4: Simplify right side
    1,039.16x = 420,307.43
  5. Step 5: Solve for x
    x = 420,307.43/1,039.16
  6. Step 6: Final answer
    x = 404.47

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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.