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Finding the Fourth Proportional to 1,298.02, 1,948.03 and 952.24

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Solution

The fourth proportional to 1,298.02, 1,948.03 and 952.24 is: 1,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.02 : 1,948.03 = 952.24 : x
  2. Step 2: Convert to fraction form
    1,298.02/1,948.03 = 952.24/x
  3. Step 3: Cross multiply
    1,298.02x = 1,948.03 × 952.24
  4. Step 4: Simplify right side
    1,298.02x = 1,854,992.09
  5. Step 5: Solve for x
    x = 1,854,992.09/1,298.02
  6. Step 6: Final answer
    x = 1,429.09

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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.