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Finding the Fourth Proportional to 666.51, 997.39 and 584.02

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Solution

The fourth proportional to 666.51, 997.39 and 584.02 is: 873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.51 : 997.39 = 584.02 : x
  2. Step 2: Convert to fraction form
    666.51/997.39 = 584.02/x
  3. Step 3: Cross multiply
    666.51x = 997.39 × 584.02
  4. Step 4: Simplify right side
    666.51x = 582,495.71
  5. Step 5: Solve for x
    x = 582,495.71/666.51
  6. Step 6: Final answer
    x = 873.95

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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.