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Finding the Fourth Proportional to 655.80, 981.84 and 501.06

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Solution

The fourth proportional to 655.80, 981.84 and 501.06 is: 750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.80 : 981.84 = 501.06 : x
  2. Step 2: Convert to fraction form
    655.80/981.84 = 501.06/x
  3. Step 3: Cross multiply
    655.80x = 981.84 × 501.06
  4. Step 4: Simplify right side
    655.80x = 491,960.75
  5. Step 5: Solve for x
    x = 491,960.75/655.80
  6. Step 6: Final answer
    x = 750.17

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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.