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Finding the Fourth Proportional to 1,298.43, 1,948.61 and 952.66

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Solution

The fourth proportional to 1,298.43, 1,948.61 and 952.66 is: 1,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.43 : 1,948.61 = 952.66 : x
  2. Step 2: Convert to fraction form
    1,298.43/1,948.61 = 952.66/x
  3. Step 3: Cross multiply
    1,298.43x = 1,948.61 × 952.66
  4. Step 4: Simplify right side
    1,298.43x = 1,856,360.31
  5. Step 5: Solve for x
    x = 1,856,360.31/1,298.43
  6. Step 6: Final answer
    x = 1,429.70

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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.