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Finding the Fourth Proportional to 1,648.52, 2,472.05 and 494.00

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Solution

The fourth proportional to 1,648.52, 2,472.05 and 494.00 is: 740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.52 : 2,472.05 = 494.00 : x
  2. Step 2: Convert to fraction form
    1,648.52/2,472.05 = 494.00/x
  3. Step 3: Cross multiply
    1,648.52x = 2,472.05 × 494.00
  4. Step 4: Simplify right side
    1,648.52x = 1,221,177.87
  5. Step 5: Solve for x
    x = 1,221,177.87/1,648.52
  6. Step 6: Final answer
    x = 740.77

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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.