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Finding the Fourth Proportional to 1,675.72, 2,512.02 and 649

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Solution

The fourth proportional to 1,675.72, 2,512.02 and 649 is: 972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.72 : 2,512.02 = 649 : x
  2. Step 2: Convert to fraction form
    1,675.72/2,512.02 = 649/x
  3. Step 3: Cross multiply
    1,675.72x = 2,512.02 × 649
  4. Step 4: Simplify right side
    1,675.72x = 1,630,300.98
  5. Step 5: Solve for x
    x = 1,630,300.98/1,675.72
  6. Step 6: Final answer
    x = 972.90

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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.