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Finding the Fourth Proportional to 768.96, 1,152.36 and 509.09

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Solution

The fourth proportional to 768.96, 1,152.36 and 509.09 is: 762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.96 : 1,152.36 = 509.09 : x
  2. Step 2: Convert to fraction form
    768.96/1,152.36 = 509.09/x
  3. Step 3: Cross multiply
    768.96x = 1,152.36 × 509.09
  4. Step 4: Simplify right side
    768.96x = 586,649.19
  5. Step 5: Solve for x
    x = 586,649.19/768.96
  6. Step 6: Final answer
    x = 762.91

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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.