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Finding the Fourth Proportional to 1,607.09, 2,410.53 and 512.24

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Solution

The fourth proportional to 1,607.09, 2,410.53 and 512.24 is: 768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.09 : 2,410.53 = 512.24 : x
  2. Step 2: Convert to fraction form
    1,607.09/2,410.53 = 512.24/x
  3. Step 3: Cross multiply
    1,607.09x = 2,410.53 × 512.24
  4. Step 4: Simplify right side
    1,607.09x = 1,234,763.86
  5. Step 5: Solve for x
    x = 1,234,763.86/1,607.09
  6. Step 6: Final answer
    x = 768.32

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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.