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Finding the Fourth Proportional to 1,078.66, 1,614.78 and 666.46

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Solution

The fourth proportional to 1,078.66, 1,614.78 and 666.46 is: 997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.66 : 1,614.78 = 666.46 : x
  2. Step 2: Convert to fraction form
    1,078.66/1,614.78 = 666.46/x
  3. Step 3: Cross multiply
    1,078.66x = 1,614.78 × 666.46
  4. Step 4: Simplify right side
    1,078.66x = 1,076,186.28
  5. Step 5: Solve for x
    x = 1,076,186.28/1,078.66
  6. Step 6: Final answer
    x = 997.71

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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.