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Finding the Fourth Proportional to 1,106.91, 1,658.14 and 513.10

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Solution

The fourth proportional to 1,106.91, 1,658.14 and 513.10 is: 768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.91 : 1,658.14 = 513.10 : x
  2. Step 2: Convert to fraction form
    1,106.91/1,658.14 = 513.10/x
  3. Step 3: Cross multiply
    1,106.91x = 1,658.14 × 513.10
  4. Step 4: Simplify right side
    1,106.91x = 850,791.63
  5. Step 5: Solve for x
    x = 850,791.63/1,106.91
  6. Step 6: Final answer
    x = 768.62

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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.