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Finding the Fourth Proportional to 945.79, 1,304.61 and 697.75

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Solution

The fourth proportional to 945.79, 1,304.61 and 697.75 is: 962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.79 : 1,304.61 = 697.75 : x
  2. Step 2: Convert to fraction form
    945.79/1,304.61 = 697.75/x
  3. Step 3: Cross multiply
    945.79x = 1,304.61 × 697.75
  4. Step 4: Simplify right side
    945.79x = 910,291.63
  5. Step 5: Solve for x
    x = 910,291.63/945.79
  6. Step 6: Final answer
    x = 962.47

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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.