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Finding the Fourth Proportional to 944.47, 1,304.01 and 590.53

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Solution

The fourth proportional to 944.47, 1,304.01 and 590.53 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.47 : 1,304.01 = 590.53 : x
  2. Step 2: Convert to fraction form
    944.47/1,304.01 = 590.53/x
  3. Step 3: Cross multiply
    944.47x = 1,304.01 × 590.53
  4. Step 4: Simplify right side
    944.47x = 770,057.03
  5. Step 5: Solve for x
    x = 770,057.03/944.47
  6. Step 6: Final answer
    x = 815.33

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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.