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Finding the Fourth Proportional to 944.82, 1,304.01 and 706.74

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Solution

The fourth proportional to 944.82, 1,304.01 and 706.74 is: 975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.82 : 1,304.01 = 706.74 : x
  2. Step 2: Convert to fraction form
    944.82/1,304.01 = 706.74/x
  3. Step 3: Cross multiply
    944.82x = 1,304.01 × 706.74
  4. Step 4: Simplify right side
    944.82x = 921,596.03
  5. Step 5: Solve for x
    x = 921,596.03/944.82
  6. Step 6: Final answer
    x = 975.42

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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.