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Finding the Fourth Proportional to 1,106.31, 1,658.82 and 558.21

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Solution

The fourth proportional to 1,106.31, 1,658.82 and 558.21 is: 836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.31 : 1,658.82 = 558.21 : x
  2. Step 2: Convert to fraction form
    1,106.31/1,658.82 = 558.21/x
  3. Step 3: Cross multiply
    1,106.31x = 1,658.82 × 558.21
  4. Step 4: Simplify right side
    1,106.31x = 925,969.91
  5. Step 5: Solve for x
    x = 925,969.91/1,106.31
  6. Step 6: Final answer
    x = 836.99

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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.