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Finding the Fourth Proportional to 1,105.72, 1,658.45 and 284.00

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Solution

The fourth proportional to 1,105.72, 1,658.45 and 284.00 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.72 : 1,658.45 = 284.00 : x
  2. Step 2: Convert to fraction form
    1,105.72/1,658.45 = 284.00/x
  3. Step 3: Cross multiply
    1,105.72x = 1,658.45 × 284.00
  4. Step 4: Simplify right side
    1,105.72x = 470,992.22
  5. Step 5: Solve for x
    x = 470,992.22/1,105.72
  6. Step 6: Final answer
    x = 425.96

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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.