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Finding the Fourth Proportional to 666.55, 998.61 and 580.15

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Solution

The fourth proportional to 666.55, 998.61 and 580.15 is: 869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.55 : 998.61 = 580.15 : x
  2. Step 2: Convert to fraction form
    666.55/998.61 = 580.15/x
  3. Step 3: Cross multiply
    666.55x = 998.61 × 580.15
  4. Step 4: Simplify right side
    666.55x = 579,343.59
  5. Step 5: Solve for x
    x = 579,343.59/666.55
  6. Step 6: Final answer
    x = 869.17

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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.