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Finding the Fourth Proportional to 1,105.45, 1,658.18 and 526.57

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Solution

The fourth proportional to 1,105.45, 1,658.18 and 526.57 is: 789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.45 : 1,658.18 = 526.57 : x
  2. Step 2: Convert to fraction form
    1,105.45/1,658.18 = 526.57/x
  3. Step 3: Cross multiply
    1,105.45x = 1,658.18 × 526.57
  4. Step 4: Simplify right side
    1,105.45x = 873,136.92
  5. Step 5: Solve for x
    x = 873,136.92/1,105.45
  6. Step 6: Final answer
    x = 789.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.