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Finding the Fourth Proportional to 1,675.05, 2,512.60 and 442.59

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Solution

The fourth proportional to 1,675.05, 2,512.60 and 442.59 is: 663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.05 : 2,512.60 = 442.59 : x
  2. Step 2: Convert to fraction form
    1,675.05/2,512.60 = 442.59/x
  3. Step 3: Cross multiply
    1,675.05x = 2,512.60 × 442.59
  4. Step 4: Simplify right side
    1,675.05x = 1,112,051.63
  5. Step 5: Solve for x
    x = 1,112,051.63/1,675.05
  6. Step 6: Final answer
    x = 663.89

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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.