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Finding the Fourth Proportional to 1,607.02, 2,411.62 and 827

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Solution

The fourth proportional to 1,607.02, 2,411.62 and 827 is: 1,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.02 : 2,411.62 = 827 : x
  2. Step 2: Convert to fraction form
    1,607.02/2,411.62 = 827/x
  3. Step 3: Cross multiply
    1,607.02x = 2,411.62 × 827
  4. Step 4: Simplify right side
    1,607.02x = 1,994,409.74
  5. Step 5: Solve for x
    x = 1,994,409.74/1,607.02
  6. Step 6: Final answer
    x = 1,241.06

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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.