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Finding the Fourth Proportional to 1,244.94, 1,866.57 and 667.02

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Solution

The fourth proportional to 1,244.94, 1,866.57 and 667.02 is: 1,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.94 : 1,866.57 = 667.02 : x
  2. Step 2: Convert to fraction form
    1,244.94/1,866.57 = 667.02/x
  3. Step 3: Cross multiply
    1,244.94x = 1,866.57 × 667.02
  4. Step 4: Simplify right side
    1,244.94x = 1,245,039.52
  5. Step 5: Solve for x
    x = 1,245,039.52/1,244.94
  6. Step 6: Final answer
    x = 1,000.08

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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.