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Finding the Fourth Proportional to 945.84, 1,304.90 and 697.76

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Solution

The fourth proportional to 945.84, 1,304.90 and 697.76 is: 962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,304.90 = 697.76 : x
  2. Step 2: Convert to fraction form
    945.84/1,304.90 = 697.76/x
  3. Step 3: Cross multiply
    945.84x = 1,304.90 × 697.76
  4. Step 4: Simplify right side
    945.84x = 910,497.01
  5. Step 5: Solve for x
    x = 910,497.01/945.84
  6. Step 6: Final answer
    x = 962.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.