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Finding the Fourth Proportional to 1,322.76, 1,984.97 and 501.10

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Solution

The fourth proportional to 1,322.76, 1,984.97 and 501.10 is: 751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.76 : 1,984.97 = 501.10 : x
  2. Step 2: Convert to fraction form
    1,322.76/1,984.97 = 501.10/x
  3. Step 3: Cross multiply
    1,322.76x = 1,984.97 × 501.10
  4. Step 4: Simplify right side
    1,322.76x = 994,668.47
  5. Step 5: Solve for x
    x = 994,668.47/1,322.76
  6. Step 6: Final answer
    x = 751.96

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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.