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Finding the Fourth Proportional to 1,093.72, 1,632.17 and 976.94

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Solution

The fourth proportional to 1,093.72, 1,632.17 and 976.94 is: 1,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.72 : 1,632.17 = 976.94 : x
  2. Step 2: Convert to fraction form
    1,093.72/1,632.17 = 976.94/x
  3. Step 3: Cross multiply
    1,093.72x = 1,632.17 × 976.94
  4. Step 4: Simplify right side
    1,093.72x = 1,594,532.16
  5. Step 5: Solve for x
    x = 1,594,532.16/1,093.72
  6. Step 6: Final answer
    x = 1,457.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.