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Finding the Fourth Proportional to 1,237.91, 1,856.93 and 416.21

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Solution

The fourth proportional to 1,237.91, 1,856.93 and 416.21 is: 624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.91 : 1,856.93 = 416.21 : x
  2. Step 2: Convert to fraction form
    1,237.91/1,856.93 = 416.21/x
  3. Step 3: Cross multiply
    1,237.91x = 1,856.93 × 416.21
  4. Step 4: Simplify right side
    1,237.91x = 772,861.47
  5. Step 5: Solve for x
    x = 772,861.47/1,237.91
  6. Step 6: Final answer
    x = 624.33

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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.