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Finding the Fourth Proportional to 1,237.42, 1,856.22 and 416.26

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Solution

The fourth proportional to 1,237.42, 1,856.22 and 416.26 is: 624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.42 : 1,856.22 = 416.26 : x
  2. Step 2: Convert to fraction form
    1,237.42/1,856.22 = 416.26/x
  3. Step 3: Cross multiply
    1,237.42x = 1,856.22 × 416.26
  4. Step 4: Simplify right side
    1,237.42x = 772,670.14
  5. Step 5: Solve for x
    x = 772,670.14/1,237.42
  6. Step 6: Final answer
    x = 624.42

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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.