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Finding the Fourth Proportional to 655.84, 906.37 and 537.64

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Solution

The fourth proportional to 655.84, 906.37 and 537.64 is: 743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 906.37 = 537.64 : x
  2. Step 2: Convert to fraction form
    655.84/906.37 = 537.64/x
  3. Step 3: Cross multiply
    655.84x = 906.37 × 537.64
  4. Step 4: Simplify right side
    655.84x = 487,296.50
  5. Step 5: Solve for x
    x = 487,296.50/655.84
  6. Step 6: Final answer
    x = 743.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.