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Finding the Fourth Proportional to 880.27, 1,214.80 and 507.22

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Solution

The fourth proportional to 880.27, 1,214.80 and 507.22 is: 699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.27 : 1,214.80 = 507.22 : x
  2. Step 2: Convert to fraction form
    880.27/1,214.80 = 507.22/x
  3. Step 3: Cross multiply
    880.27x = 1,214.80 × 507.22
  4. Step 4: Simplify right side
    880.27x = 616,162.25
  5. Step 5: Solve for x
    x = 616,162.25/880.27
  6. Step 6: Final answer
    x = 699.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.