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Finding the Fourth Proportional to 1,004.02, 1,507.75 and 952.09

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Solution

The fourth proportional to 1,004.02, 1,507.75 and 952.09 is: 1,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.02 : 1,507.75 = 952.09 : x
  2. Step 2: Convert to fraction form
    1,004.02/1,507.75 = 952.09/x
  3. Step 3: Cross multiply
    1,004.02x = 1,507.75 × 952.09
  4. Step 4: Simplify right side
    1,004.02x = 1,435,507.55
  5. Step 5: Solve for x
    x = 1,435,507.55/1,004.02
  6. Step 6: Final answer
    x = 1,429.76

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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.