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Finding the Fourth Proportional to 1,650.54, 2,475.90 and 554.94

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Solution

The fourth proportional to 1,650.54, 2,475.90 and 554.94 is: 832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.54 : 2,475.90 = 554.94 : x
  2. Step 2: Convert to fraction form
    1,650.54/2,475.90 = 554.94/x
  3. Step 3: Cross multiply
    1,650.54x = 2,475.90 × 554.94
  4. Step 4: Simplify right side
    1,650.54x = 1,373,975.95
  5. Step 5: Solve for x
    x = 1,373,975.95/1,650.54
  6. Step 6: Final answer
    x = 832.44

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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.