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Finding the Fourth Proportional to 1,607.97, 2,411.85 and 513.12

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Solution

The fourth proportional to 1,607.97, 2,411.85 and 513.12 is: 769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.97 : 2,411.85 = 513.12 : x
  2. Step 2: Convert to fraction form
    1,607.97/2,411.85 = 513.12/x
  3. Step 3: Cross multiply
    1,607.97x = 2,411.85 × 513.12
  4. Step 4: Simplify right side
    1,607.97x = 1,237,568.47
  5. Step 5: Solve for x
    x = 1,237,568.47/1,607.97
  6. Step 6: Final answer
    x = 769.65

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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.