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Finding the Fourth Proportional to 946.42, 1,304.82 and 725.02

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Solution

The fourth proportional to 946.42, 1,304.82 and 725.02 is: 999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.42 : 1,304.82 = 725.02 : x
  2. Step 2: Convert to fraction form
    946.42/1,304.82 = 725.02/x
  3. Step 3: Cross multiply
    946.42x = 1,304.82 × 725.02
  4. Step 4: Simplify right side
    946.42x = 946,020.60
  5. Step 5: Solve for x
    x = 946,020.60/946.42
  6. Step 6: Final answer
    x = 999.58

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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.