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Finding the Fourth Proportional to 654.80, 903.78 and 507.02

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Solution

The fourth proportional to 654.80, 903.78 and 507.02 is: 699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.80 : 903.78 = 507.02 : x
  2. Step 2: Convert to fraction form
    654.80/903.78 = 507.02/x
  3. Step 3: Cross multiply
    654.80x = 903.78 × 507.02
  4. Step 4: Simplify right side
    654.80x = 458,234.54
  5. Step 5: Solve for x
    x = 458,234.54/654.80
  6. Step 6: Final answer
    x = 699.81

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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.