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Finding the Fourth Proportional to 1,216.49, 1,678.02 and 921.24

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Solution

The fourth proportional to 1,216.49, 1,678.02 and 921.24 is: 1,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.49 : 1,678.02 = 921.24 : x
  2. Step 2: Convert to fraction form
    1,216.49/1,678.02 = 921.24/x
  3. Step 3: Cross multiply
    1,216.49x = 1,678.02 × 921.24
  4. Step 4: Simplify right side
    1,216.49x = 1,545,855.69
  5. Step 5: Solve for x
    x = 1,545,855.69/1,216.49
  6. Step 6: Final answer
    x = 1,270.76

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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.