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Finding the Fourth Proportional to 1,298.35, 1,947.48 and 324.46

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Solution

The fourth proportional to 1,298.35, 1,947.48 and 324.46 is: 486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.35 : 1,947.48 = 324.46 : x
  2. Step 2: Convert to fraction form
    1,298.35/1,947.48 = 324.46/x
  3. Step 3: Cross multiply
    1,298.35x = 1,947.48 × 324.46
  4. Step 4: Simplify right side
    1,298.35x = 631,879.36
  5. Step 5: Solve for x
    x = 631,879.36/1,298.35
  6. Step 6: Final answer
    x = 486.68

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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.