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Finding the Fourth Proportional to 1,237.98, 1,856.18 and 416.04

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Solution

The fourth proportional to 1,237.98, 1,856.18 and 416.04 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.98 : 1,856.18 = 416.04 : x
  2. Step 2: Convert to fraction form
    1,237.98/1,856.18 = 416.04/x
  3. Step 3: Cross multiply
    1,237.98x = 1,856.18 × 416.04
  4. Step 4: Simplify right side
    1,237.98x = 772,245.13
  5. Step 5: Solve for x
    x = 772,245.13/1,237.98
  6. Step 6: Final answer
    x = 623.79

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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.