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Finding the Fourth Proportional to 1,105.70, 1,658.66 and 315.06

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Solution

The fourth proportional to 1,105.70, 1,658.66 and 315.06 is: 472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.70 : 1,658.66 = 315.06 : x
  2. Step 2: Convert to fraction form
    1,105.70/1,658.66 = 315.06/x
  3. Step 3: Cross multiply
    1,105.70x = 1,658.66 × 315.06
  4. Step 4: Simplify right side
    1,105.70x = 522,575.84
  5. Step 5: Solve for x
    x = 522,575.84/1,105.70
  6. Step 6: Final answer
    x = 472.62

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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.