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Finding the Fourth Proportional to 902.22, 1,244.56 and 570.06

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Solution

The fourth proportional to 902.22, 1,244.56 and 570.06 is: 786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.22 : 1,244.56 = 570.06 : x
  2. Step 2: Convert to fraction form
    902.22/1,244.56 = 570.06/x
  3. Step 3: Cross multiply
    902.22x = 1,244.56 × 570.06
  4. Step 4: Simplify right side
    902.22x = 709,473.87
  5. Step 5: Solve for x
    x = 709,473.87/902.22
  6. Step 6: Final answer
    x = 786.36

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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.