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Finding the Fourth Proportional to 1,607.26, 2,410.98 and 634.18

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Solution

The fourth proportional to 1,607.26, 2,410.98 and 634.18 is: 951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.26 : 2,410.98 = 634.18 : x
  2. Step 2: Convert to fraction form
    1,607.26/2,410.98 = 634.18/x
  3. Step 3: Cross multiply
    1,607.26x = 2,410.98 × 634.18
  4. Step 4: Simplify right side
    1,607.26x = 1,528,995.30
  5. Step 5: Solve for x
    x = 1,528,995.30/1,607.26
  6. Step 6: Final answer
    x = 951.31

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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.