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Finding the Fourth Proportional to 1,322.99, 1,984.51 and 501.65

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Solution

The fourth proportional to 1,322.99, 1,984.51 and 501.65 is: 752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.99 : 1,984.51 = 501.65 : x
  2. Step 2: Convert to fraction form
    1,322.99/1,984.51 = 501.65/x
  3. Step 3: Cross multiply
    1,322.99x = 1,984.51 × 501.65
  4. Step 4: Simplify right side
    1,322.99x = 995,529.44
  5. Step 5: Solve for x
    x = 995,529.44/1,322.99
  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.