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Finding the Fourth Proportional to 1,298.71, 1,948.04 and 324.82

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Solution

The fourth proportional to 1,298.71, 1,948.04 and 324.82 is: 487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.71 : 1,948.04 = 324.82 : x
  2. Step 2: Convert to fraction form
    1,298.71/1,948.04 = 324.82/x
  3. Step 3: Cross multiply
    1,298.71x = 1,948.04 × 324.82
  4. Step 4: Simplify right side
    1,298.71x = 632,755.86
  5. Step 5: Solve for x
    x = 632,755.86/1,298.71
  6. Step 6: Final answer
    x = 487.22

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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.