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Finding the Fourth Proportional to 1,529.44, 2,293.80 and 433.90

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Solution

The fourth proportional to 1,529.44, 2,293.80 and 433.90 is: 650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.44 : 2,293.80 = 433.90 : x
  2. Step 2: Convert to fraction form
    1,529.44/2,293.80 = 433.90/x
  3. Step 3: Cross multiply
    1,529.44x = 2,293.80 × 433.90
  4. Step 4: Simplify right side
    1,529.44x = 995,279.82
  5. Step 5: Solve for x
    x = 995,279.82/1,529.44
  6. Step 6: Final answer
    x = 650.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.