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Finding the Fourth Proportional to 944.46, 1,303.09 and 595.15

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Solution

The fourth proportional to 944.46, 1,303.09 and 595.15 is: 821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.46 : 1,303.09 = 595.15 : x
  2. Step 2: Convert to fraction form
    944.46/1,303.09 = 595.15/x
  3. Step 3: Cross multiply
    944.46x = 1,303.09 × 595.15
  4. Step 4: Simplify right side
    944.46x = 775,529.27
  5. Step 5: Solve for x
    x = 775,529.27/944.46
  6. Step 6: Final answer
    x = 821.14

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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.