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Finding the Fourth Proportional to 1,477.27, 2,214.66 and 696.82

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Solution

The fourth proportional to 1,477.27, 2,214.66 and 696.82 is: 1,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.27 : 2,214.66 = 696.82 : x
  2. Step 2: Convert to fraction form
    1,477.27/2,214.66 = 696.82/x
  3. Step 3: Cross multiply
    1,477.27x = 2,214.66 × 696.82
  4. Step 4: Simplify right side
    1,477.27x = 1,543,219.38
  5. Step 5: Solve for x
    x = 1,543,219.38/1,477.27
  6. Step 6: Final answer
    x = 1,044.64

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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.