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Finding the Fourth Proportional to 1,216.13, 1,678.29 and 664.13

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Solution

The fourth proportional to 1,216.13, 1,678.29 and 664.13 is: 916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.13 : 1,678.29 = 664.13 : x
  2. Step 2: Convert to fraction form
    1,216.13/1,678.29 = 664.13/x
  3. Step 3: Cross multiply
    1,216.13x = 1,678.29 × 664.13
  4. Step 4: Simplify right side
    1,216.13x = 1,114,596.01
  5. Step 5: Solve for x
    x = 1,114,596.01/1,216.13
  6. Step 6: Final answer
    x = 916.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.