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Finding the Fourth Proportional to 944.94, 1,303.86 and 590.82

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Solution

The fourth proportional to 944.94, 1,303.86 and 590.82 is: 815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.94 : 1,303.86 = 590.82 : x
  2. Step 2: Convert to fraction form
    944.94/1,303.86 = 590.82/x
  3. Step 3: Cross multiply
    944.94x = 1,303.86 × 590.82
  4. Step 4: Simplify right side
    944.94x = 770,346.57
  5. Step 5: Solve for x
    x = 770,346.57/944.94
  6. Step 6: Final answer
    x = 815.23

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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.