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Finding the Fourth Proportional to 945.98, 1,304.71 and 647.40

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Solution

The fourth proportional to 945.98, 1,304.71 and 647.40 is: 892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.98 : 1,304.71 = 647.40 : x
  2. Step 2: Convert to fraction form
    945.98/1,304.71 = 647.40/x
  3. Step 3: Cross multiply
    945.98x = 1,304.71 × 647.40
  4. Step 4: Simplify right side
    945.98x = 844,667.64
  5. Step 5: Solve for x
    x = 844,667.64/945.98
  6. Step 6: Final answer
    x = 892.91

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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.