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Finding the Fourth Proportional to 1,237.52, 1,853.70 and 644.42

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Solution

The fourth proportional to 1,237.52, 1,853.70 and 644.42 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.52 : 1,853.70 = 644.42 : x
  2. Step 2: Convert to fraction form
    1,237.52/1,853.70 = 644.42/x
  3. Step 3: Cross multiply
    1,237.52x = 1,853.70 × 644.42
  4. Step 4: Simplify right side
    1,237.52x = 1,194,561.35
  5. Step 5: Solve for x
    x = 1,194,561.35/1,237.52
  6. Step 6: Final answer
    x = 965.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.