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Finding the Fourth Proportional to 655.88, 981.92 and 511.70

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Solution

The fourth proportional to 655.88, 981.92 and 511.70 is: 766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 981.92 = 511.70 : x
  2. Step 2: Convert to fraction form
    655.88/981.92 = 511.70/x
  3. Step 3: Cross multiply
    655.88x = 981.92 × 511.70
  4. Step 4: Simplify right side
    655.88x = 502,448.46
  5. Step 5: Solve for x
    x = 502,448.46/655.88
  6. Step 6: Final answer
    x = 766.07

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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.