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Finding the Fourth Proportional to 944.60, 1,303.02 and 594.68

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Solution

The fourth proportional to 944.60, 1,303.02 and 594.68 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.60 : 1,303.02 = 594.68 : x
  2. Step 2: Convert to fraction form
    944.60/1,303.02 = 594.68/x
  3. Step 3: Cross multiply
    944.60x = 1,303.02 × 594.68
  4. Step 4: Simplify right side
    944.60x = 774,879.93
  5. Step 5: Solve for x
    x = 774,879.93/944.60
  6. Step 6: Final answer
    x = 820.33

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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.