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Finding the Fourth Proportional to 846.25, 1,270.28 and 631.19

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Solution

The fourth proportional to 846.25, 1,270.28 and 631.19 is: 947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.25 : 1,270.28 = 631.19 : x
  2. Step 2: Convert to fraction form
    846.25/1,270.28 = 631.19/x
  3. Step 3: Cross multiply
    846.25x = 1,270.28 × 631.19
  4. Step 4: Simplify right side
    846.25x = 801,792.79
  5. Step 5: Solve for x
    x = 801,792.79/846.25
  6. Step 6: Final answer
    x = 947.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.