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Finding the Fourth Proportional to 1,321.51, 1,823.40 and 797.53

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Solution

The fourth proportional to 1,321.51, 1,823.40 and 797.53 is: 1,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.51 : 1,823.40 = 797.53 : x
  2. Step 2: Convert to fraction form
    1,321.51/1,823.40 = 797.53/x
  3. Step 3: Cross multiply
    1,321.51x = 1,823.40 × 797.53
  4. Step 4: Simplify right side
    1,321.51x = 1,454,216.20
  5. Step 5: Solve for x
    x = 1,454,216.20/1,321.51
  6. Step 6: Final answer
    x = 1,100.42

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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.