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Finding the Fourth Proportional to 902.73, 1,244.52 and 570.99

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Solution

The fourth proportional to 902.73, 1,244.52 and 570.99 is: 787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.73 : 1,244.52 = 570.99 : x
  2. Step 2: Convert to fraction form
    902.73/1,244.52 = 570.99/x
  3. Step 3: Cross multiply
    902.73x = 1,244.52 × 570.99
  4. Step 4: Simplify right side
    902.73x = 710,608.47
  5. Step 5: Solve for x
    x = 710,608.47/902.73
  6. Step 6: Final answer
    x = 787.18

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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.