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Finding the Fourth Proportional to 1,783.78, 2,675.34 and 484.93

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Solution

The fourth proportional to 1,783.78, 2,675.34 and 484.93 is: 727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.78 : 2,675.34 = 484.93 : x
  2. Step 2: Convert to fraction form
    1,783.78/2,675.34 = 484.93/x
  3. Step 3: Cross multiply
    1,783.78x = 2,675.34 × 484.93
  4. Step 4: Simplify right side
    1,783.78x = 1,297,352.63
  5. Step 5: Solve for x
    x = 1,297,352.63/1,783.78
  6. Step 6: Final answer
    x = 727.31

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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.