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Finding the Fourth Proportional to 945.76, 1,304.22 and 630.94

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Solution

The fourth proportional to 945.76, 1,304.22 and 630.94 is: 870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.76 : 1,304.22 = 630.94 : x
  2. Step 2: Convert to fraction form
    945.76/1,304.22 = 630.94/x
  3. Step 3: Cross multiply
    945.76x = 1,304.22 × 630.94
  4. Step 4: Simplify right side
    945.76x = 822,884.57
  5. Step 5: Solve for x
    x = 822,884.57/945.76
  6. Step 6: Final answer
    x = 870.08

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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.