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Finding the Fourth Proportional to 768.47, 1,154.24 and 460.89

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Solution

The fourth proportional to 768.47, 1,154.24 and 460.89 is: 692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.47 : 1,154.24 = 460.89 : x
  2. Step 2: Convert to fraction form
    768.47/1,154.24 = 460.89/x
  3. Step 3: Cross multiply
    768.47x = 1,154.24 × 460.89
  4. Step 4: Simplify right side
    768.47x = 531,975.37
  5. Step 5: Solve for x
    x = 531,975.37/768.47
  6. Step 6: Final answer
    x = 692.26

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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.