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Finding the Fourth Proportional to 1,323.94, 1,984.65 and 501.97

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Solution

The fourth proportional to 1,323.94, 1,984.65 and 501.97 is: 752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.94 : 1,984.65 = 501.97 : x
  2. Step 2: Convert to fraction form
    1,323.94/1,984.65 = 501.97/x
  3. Step 3: Cross multiply
    1,323.94x = 1,984.65 × 501.97
  4. Step 4: Simplify right side
    1,323.94x = 996,234.76
  5. Step 5: Solve for x
    x = 996,234.76/1,323.94
  6. Step 6: Final answer
    x = 752.48

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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.