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Finding the Fourth Proportional to 880.29, 1,214.82 and 507.21

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Solution

The fourth proportional to 880.29, 1,214.82 and 507.21 is: 699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.29 : 1,214.82 = 507.21 : x
  2. Step 2: Convert to fraction form
    880.29/1,214.82 = 507.21/x
  3. Step 3: Cross multiply
    880.29x = 1,214.82 × 507.21
  4. Step 4: Simplify right side
    880.29x = 616,167.33
  5. Step 5: Solve for x
    x = 616,167.33/880.29
  6. Step 6: Final answer
    x = 699.96

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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.