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Finding the Fourth Proportional to 1,675.29, 2,512.72 and 442.79

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Solution

The fourth proportional to 1,675.29, 2,512.72 and 442.79 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.29 : 2,512.72 = 442.79 : x
  2. Step 2: Convert to fraction form
    1,675.29/2,512.72 = 442.79/x
  3. Step 3: Cross multiply
    1,675.29x = 2,512.72 × 442.79
  4. Step 4: Simplify right side
    1,675.29x = 1,112,605.07
  5. Step 5: Solve for x
    x = 1,112,605.07/1,675.29
  6. Step 6: Final answer
    x = 664.13

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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.