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Finding the Fourth Proportional to 1,200.22, 1,799.64 and 583.15

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Solution

The fourth proportional to 1,200.22, 1,799.64 and 583.15 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.22 : 1,799.64 = 583.15 : x
  2. Step 2: Convert to fraction form
    1,200.22/1,799.64 = 583.15/x
  3. Step 3: Cross multiply
    1,200.22x = 1,799.64 × 583.15
  4. Step 4: Simplify right side
    1,200.22x = 1,049,454.11
  5. Step 5: Solve for x
    x = 1,049,454.11/1,200.22
  6. Step 6: Final answer
    x = 874.39

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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.