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Finding the Fourth Proportional to 905.64, 1,249.74 and 507.30

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Solution

The fourth proportional to 905.64, 1,249.74 and 507.30 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.64 : 1,249.74 = 507.30 : x
  2. Step 2: Convert to fraction form
    905.64/1,249.74 = 507.30/x
  3. Step 3: Cross multiply
    905.64x = 1,249.74 × 507.30
  4. Step 4: Simplify right side
    905.64x = 633,993.10
  5. Step 5: Solve for x
    x = 633,993.10/905.64
  6. Step 6: Final answer
    x = 700.05

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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.