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Finding the Fourth Proportional to 1,608.08, 2,411.60 and 512.40

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Solution

The fourth proportional to 1,608.08, 2,411.60 and 512.40 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.08 : 2,411.60 = 512.40 : x
  2. Step 2: Convert to fraction form
    1,608.08/2,411.60 = 512.40/x
  3. Step 3: Cross multiply
    1,608.08x = 2,411.60 × 512.40
  4. Step 4: Simplify right side
    1,608.08x = 1,235,703.84
  5. Step 5: Solve for x
    x = 1,235,703.84/1,608.08
  6. Step 6: Final answer
    x = 768.43

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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.