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Finding the Fourth Proportional to 944.04, 1,303.96 and 725.65

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Solution

The fourth proportional to 944.04, 1,303.96 and 725.65 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.04 : 1,303.96 = 725.65 : x
  2. Step 2: Convert to fraction form
    944.04/1,303.96 = 725.65/x
  3. Step 3: Cross multiply
    944.04x = 1,303.96 × 725.65
  4. Step 4: Simplify right side
    944.04x = 946,218.57
  5. Step 5: Solve for x
    x = 946,218.57/944.04
  6. Step 6: Final answer
    x = 1,002.31

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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.