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Finding the Fourth Proportional to 905.05, 1,248.88 and 506.69

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Solution

The fourth proportional to 905.05, 1,248.88 and 506.69 is: 699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.05 : 1,248.88 = 506.69 : x
  2. Step 2: Convert to fraction form
    905.05/1,248.88 = 506.69/x
  3. Step 3: Cross multiply
    905.05x = 1,248.88 × 506.69
  4. Step 4: Simplify right side
    905.05x = 632,792.47
  5. Step 5: Solve for x
    x = 632,792.47/905.05
  6. Step 6: Final answer
    x = 699.18

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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.