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Finding the Fourth Proportional to 1,529.33, 2,293.68 and 433.70

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Solution

The fourth proportional to 1,529.33, 2,293.68 and 433.70 is: 650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.33 : 2,293.68 = 433.70 : x
  2. Step 2: Convert to fraction form
    1,529.33/2,293.68 = 433.70/x
  3. Step 3: Cross multiply
    1,529.33x = 2,293.68 × 433.70
  4. Step 4: Simplify right side
    1,529.33x = 994,780.68
  5. Step 5: Solve for x
    x = 994,780.68/1,529.33
  6. Step 6: Final answer
    x = 650.47

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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.