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Finding the Fourth Proportional to 1,299.66, 1,950.17 and 569.41

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Solution

The fourth proportional to 1,299.66, 1,950.17 and 569.41 is: 854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.66 : 1,950.17 = 569.41 : x
  2. Step 2: Convert to fraction form
    1,299.66/1,950.17 = 569.41/x
  3. Step 3: Cross multiply
    1,299.66x = 1,950.17 × 569.41
  4. Step 4: Simplify right side
    1,299.66x = 1,110,438.58
  5. Step 5: Solve for x
    x = 1,110,438.58/1,299.66
  6. Step 6: Final answer
    x = 854.41

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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.