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Finding the Fourth Proportional to 1,216.02, 1,678.68 and 823.68

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Solution

The fourth proportional to 1,216.02, 1,678.68 and 823.68 is: 1,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.02 : 1,678.68 = 823.68 : x
  2. Step 2: Convert to fraction form
    1,216.02/1,678.68 = 823.68/x
  3. Step 3: Cross multiply
    1,216.02x = 1,678.68 × 823.68
  4. Step 4: Simplify right side
    1,216.02x = 1,382,695.14
  5. Step 5: Solve for x
    x = 1,382,695.14/1,216.02
  6. Step 6: Final answer
    x = 1,137.07

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Why These Related Problems?

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