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Finding the Fourth Proportional to 1,322.92, 1,984.44 and 457.84

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Solution

The fourth proportional to 1,322.92, 1,984.44 and 457.84 is: 686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.92 : 1,984.44 = 457.84 : x
  2. Step 2: Convert to fraction form
    1,322.92/1,984.44 = 457.84/x
  3. Step 3: Cross multiply
    1,322.92x = 1,984.44 × 457.84
  4. Step 4: Simplify right side
    1,322.92x = 908,556.01
  5. Step 5: Solve for x
    x = 908,556.01/1,322.92
  6. Step 6: Final answer
    x = 686.78

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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.