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Finding the Fourth Proportional to 666.72, 919.62 and 509.46

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Solution

The fourth proportional to 666.72, 919.62 and 509.46 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.72 : 919.62 = 509.46 : x
  2. Step 2: Convert to fraction form
    666.72/919.62 = 509.46/x
  3. Step 3: Cross multiply
    666.72x = 919.62 × 509.46
  4. Step 4: Simplify right side
    666.72x = 468,509.61
  5. Step 5: Solve for x
    x = 468,509.61/666.72
  6. Step 6: Final answer
    x = 702.71

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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.