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Finding the Fourth Proportional to 1,322.51, 1,824.78 and 798.53

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Solution

The fourth proportional to 1,322.51, 1,824.78 and 798.53 is: 1,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.51 : 1,824.78 = 798.53 : x
  2. Step 2: Convert to fraction form
    1,322.51/1,824.78 = 798.53/x
  3. Step 3: Cross multiply
    1,322.51x = 1,824.78 × 798.53
  4. Step 4: Simplify right side
    1,322.51x = 1,457,141.57
  5. Step 5: Solve for x
    x = 1,457,141.57/1,322.51
  6. Step 6: Final answer
    x = 1,101.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.