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Finding the Fourth Proportional to 1,298.51, 1,947.76 and 324.61

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Solution

The fourth proportional to 1,298.51, 1,947.76 and 324.61 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.51 : 1,947.76 = 324.61 : x
  2. Step 2: Convert to fraction form
    1,298.51/1,947.76 = 324.61/x
  3. Step 3: Cross multiply
    1,298.51x = 1,947.76 × 324.61
  4. Step 4: Simplify right side
    1,298.51x = 632,262.37
  5. Step 5: Solve for x
    x = 632,262.37/1,298.51
  6. Step 6: Final answer
    x = 486.91

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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.