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Finding the Fourth Proportional to 944.25, 1,303.08 and 595.56

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Solution

The fourth proportional to 944.25, 1,303.08 and 595.56 is: 821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.25 : 1,303.08 = 595.56 : x
  2. Step 2: Convert to fraction form
    944.25/1,303.08 = 595.56/x
  3. Step 3: Cross multiply
    944.25x = 1,303.08 × 595.56
  4. Step 4: Simplify right side
    944.25x = 776,062.32
  5. Step 5: Solve for x
    x = 776,062.32/944.25
  6. Step 6: Final answer
    x = 821.88

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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.