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Finding the Fourth Proportional to 655.19, 981.05 and 513.06

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Solution

The fourth proportional to 655.19, 981.05 and 513.06 is: 768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.19 : 981.05 = 513.06 : x
  2. Step 2: Convert to fraction form
    655.19/981.05 = 513.06/x
  3. Step 3: Cross multiply
    655.19x = 981.05 × 513.06
  4. Step 4: Simplify right side
    655.19x = 503,337.51
  5. Step 5: Solve for x
    x = 503,337.51/655.19
  6. Step 6: Final answer
    x = 768.23

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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.