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Finding the Fourth Proportional to 1,105.41, 1,658.13 and 283.68

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Solution

The fourth proportional to 1,105.41, 1,658.13 and 283.68 is: 425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.41 : 1,658.13 = 283.68 : x
  2. Step 2: Convert to fraction form
    1,105.41/1,658.13 = 283.68/x
  3. Step 3: Cross multiply
    1,105.41x = 1,658.13 × 283.68
  4. Step 4: Simplify right side
    1,105.41x = 470,378.32
  5. Step 5: Solve for x
    x = 470,378.32/1,105.41
  6. Step 6: Final answer
    x = 425.52

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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.