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Finding the Fourth Proportional to 1,648.94, 2,472.42 and 771.08

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Solution

The fourth proportional to 1,648.94, 2,472.42 and 771.08 is: 1,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.94 : 2,472.42 = 771.08 : x
  2. Step 2: Convert to fraction form
    1,648.94/2,472.42 = 771.08/x
  3. Step 3: Cross multiply
    1,648.94x = 2,472.42 × 771.08
  4. Step 4: Simplify right side
    1,648.94x = 1,906,433.61
  5. Step 5: Solve for x
    x = 1,906,433.61/1,648.94
  6. Step 6: Final answer
    x = 1,156.16

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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.