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Finding the Fourth Proportional to 1,577.77, 2,365.82 and 467.04

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Solution

The fourth proportional to 1,577.77, 2,365.82 and 467.04 is: 700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.77 : 2,365.82 = 467.04 : x
  2. Step 2: Convert to fraction form
    1,577.77/2,365.82 = 467.04/x
  3. Step 3: Cross multiply
    1,577.77x = 2,365.82 × 467.04
  4. Step 4: Simplify right side
    1,577.77x = 1,104,932.57
  5. Step 5: Solve for x
    x = 1,104,932.57/1,577.77
  6. Step 6: Final answer
    x = 700.31

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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.