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Finding the Fourth Proportional to 944.96, 1,303.71 and 590.64

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Solution

The fourth proportional to 944.96, 1,303.71 and 590.64 is: 814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.96 : 1,303.71 = 590.64 : x
  2. Step 2: Convert to fraction form
    944.96/1,303.71 = 590.64/x
  3. Step 3: Cross multiply
    944.96x = 1,303.71 × 590.64
  4. Step 4: Simplify right side
    944.96x = 770,023.27
  5. Step 5: Solve for x
    x = 770,023.27/944.96
  6. Step 6: Final answer
    x = 814.87

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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.