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Finding the Fourth Proportional to 1,224.93, 1,836.21 and 784.94

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Solution

The fourth proportional to 1,224.93, 1,836.21 and 784.94 is: 1,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.93 : 1,836.21 = 784.94 : x
  2. Step 2: Convert to fraction form
    1,224.93/1,836.21 = 784.94/x
  3. Step 3: Cross multiply
    1,224.93x = 1,836.21 × 784.94
  4. Step 4: Simplify right side
    1,224.93x = 1,441,305.50
  5. Step 5: Solve for x
    x = 1,441,305.50/1,224.93
  6. Step 6: Final answer
    x = 1,176.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.