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Finding the Fourth Proportional to 1,105.65, 1,658.54 and 283.97

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Solution

The fourth proportional to 1,105.65, 1,658.54 and 283.97 is: 425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.65 : 1,658.54 = 283.97 : x
  2. Step 2: Convert to fraction form
    1,105.65/1,658.54 = 283.97/x
  3. Step 3: Cross multiply
    1,105.65x = 1,658.54 × 283.97
  4. Step 4: Simplify right side
    1,105.65x = 470,980.46
  5. Step 5: Solve for x
    x = 470,980.46/1,105.65
  6. Step 6: Final answer
    x = 425.98

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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.