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Finding the Fourth Proportional to 902.81, 1,246.10 and 571.25

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Solution

The fourth proportional to 902.81, 1,246.10 and 571.25 is: 788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.81 : 1,246.10 = 571.25 : x
  2. Step 2: Convert to fraction form
    902.81/1,246.10 = 571.25/x
  3. Step 3: Cross multiply
    902.81x = 1,246.10 × 571.25
  4. Step 4: Simplify right side
    902.81x = 711,825.54
  5. Step 5: Solve for x
    x = 711,825.54/902.81
  6. Step 6: Final answer
    x = 788.46

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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.