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Finding the Fourth Proportional to 1,577.51, 2,367.73 and 798.06

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Solution

The fourth proportional to 1,577.51, 2,367.73 and 798.06 is: 1,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.51 : 2,367.73 = 798.06 : x
  2. Step 2: Convert to fraction form
    1,577.51/2,367.73 = 798.06/x
  3. Step 3: Cross multiply
    1,577.51x = 2,367.73 × 798.06
  4. Step 4: Simplify right side
    1,577.51x = 1,889,587.61
  5. Step 5: Solve for x
    x = 1,889,587.61/1,577.51
  6. Step 6: Final answer
    x = 1,197.83

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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.