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Finding the Fourth Proportional to 758.84, 1,137.48 and 433.55

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Solution

The fourth proportional to 758.84, 1,137.48 and 433.55 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,137.48 = 433.55 : x
  2. Step 2: Convert to fraction form
    758.84/1,137.48 = 433.55/x
  3. Step 3: Cross multiply
    758.84x = 1,137.48 × 433.55
  4. Step 4: Simplify right side
    758.84x = 493,154.45
  5. Step 5: Solve for x
    x = 493,154.45/758.84
  6. Step 6: Final answer
    x = 649.88

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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.