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Finding the Fourth Proportional to 1,607.40, 2,410.56 and 633.24

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Solution

The fourth proportional to 1,607.40, 2,410.56 and 633.24 is: 949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.40 : 2,410.56 = 633.24 : x
  2. Step 2: Convert to fraction form
    1,607.40/2,410.56 = 633.24/x
  3. Step 3: Cross multiply
    1,607.40x = 2,410.56 × 633.24
  4. Step 4: Simplify right side
    1,607.40x = 1,526,463.01
  5. Step 5: Solve for x
    x = 1,526,463.01/1,607.40
  6. Step 6: Final answer
    x = 949.65

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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.