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Finding the Fourth Proportional to 1,322.80, 1,825.64 and 763.30

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Solution

The fourth proportional to 1,322.80, 1,825.64 and 763.30 is: 1,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.80 : 1,825.64 = 763.30 : x
  2. Step 2: Convert to fraction form
    1,322.80/1,825.64 = 763.30/x
  3. Step 3: Cross multiply
    1,322.80x = 1,825.64 × 763.30
  4. Step 4: Simplify right side
    1,322.80x = 1,393,511.01
  5. Step 5: Solve for x
    x = 1,393,511.01/1,322.80
  6. Step 6: Final answer
    x = 1,053.46

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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.