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Finding the Fourth Proportional to 666.66, 993.83 and 656.13

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Solution

The fourth proportional to 666.66, 993.83 and 656.13 is: 978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.66 : 993.83 = 656.13 : x
  2. Step 2: Convert to fraction form
    666.66/993.83 = 656.13/x
  3. Step 3: Cross multiply
    666.66x = 993.83 × 656.13
  4. Step 4: Simplify right side
    666.66x = 652,078.40
  5. Step 5: Solve for x
    x = 652,078.40/666.66
  6. Step 6: Final answer
    x = 978.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.