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Finding the Fourth Proportional to 944.24, 1,302.90 and 594.68

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Solution

The fourth proportional to 944.24, 1,302.90 and 594.68 is: 820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.24 : 1,302.90 = 594.68 : x
  2. Step 2: Convert to fraction form
    944.24/1,302.90 = 594.68/x
  3. Step 3: Cross multiply
    944.24x = 1,302.90 × 594.68
  4. Step 4: Simplify right side
    944.24x = 774,808.57
  5. Step 5: Solve for x
    x = 774,808.57/944.24
  6. Step 6: Final answer
    x = 820.56

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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.