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Finding the Fourth Proportional to 1,607.66, 2,411.46 and 512.10

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Solution

The fourth proportional to 1,607.66, 2,411.46 and 512.10 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.66 : 2,411.46 = 512.10 : x
  2. Step 2: Convert to fraction form
    1,607.66/2,411.46 = 512.10/x
  3. Step 3: Cross multiply
    1,607.66x = 2,411.46 × 512.10
  4. Step 4: Simplify right side
    1,607.66x = 1,234,908.67
  5. Step 5: Solve for x
    x = 1,234,908.67/1,607.66
  6. Step 6: Final answer
    x = 768.14

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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.