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Finding the Fourth Proportional to 1,237.69, 1,856.62 and 415.95

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Solution

The fourth proportional to 1,237.69, 1,856.62 and 415.95 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.69 : 1,856.62 = 415.95 : x
  2. Step 2: Convert to fraction form
    1,237.69/1,856.62 = 415.95/x
  3. Step 3: Cross multiply
    1,237.69x = 1,856.62 × 415.95
  4. Step 4: Simplify right side
    1,237.69x = 772,265.09
  5. Step 5: Solve for x
    x = 772,265.09/1,237.69
  6. Step 6: Final answer
    x = 623.96

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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.