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Finding the Fourth Proportional to 655.34, 903.66 and 507.62

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Solution

The fourth proportional to 655.34, 903.66 and 507.62 is: 699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.34 : 903.66 = 507.62 : x
  2. Step 2: Convert to fraction form
    655.34/903.66 = 507.62/x
  3. Step 3: Cross multiply
    655.34x = 903.66 × 507.62
  4. Step 4: Simplify right side
    655.34x = 458,715.89
  5. Step 5: Solve for x
    x = 458,715.89/655.34
  6. Step 6: Final answer
    x = 699.97

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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.