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Finding the Fourth Proportional to 880.82, 1,215.25 and 507.75

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Solution

The fourth proportional to 880.82, 1,215.25 and 507.75 is: 700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.82 : 1,215.25 = 507.75 : x
  2. Step 2: Convert to fraction form
    880.82/1,215.25 = 507.75/x
  3. Step 3: Cross multiply
    880.82x = 1,215.25 × 507.75
  4. Step 4: Simplify right side
    880.82x = 617,039.26
  5. Step 5: Solve for x
    x = 617,039.26/880.82
  6. Step 6: Final answer
    x = 700.53

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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.