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Finding the Fourth Proportional to 758.72, 1,137.36 and 433.46

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Solution

The fourth proportional to 758.72, 1,137.36 and 433.46 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.72 : 1,137.36 = 433.46 : x
  2. Step 2: Convert to fraction form
    758.72/1,137.36 = 433.46/x
  3. Step 3: Cross multiply
    758.72x = 1,137.36 × 433.46
  4. Step 4: Simplify right side
    758.72x = 493,000.07
  5. Step 5: Solve for x
    x = 493,000.07/758.72
  6. Step 6: Final answer
    x = 649.78

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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.