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Finding the Fourth Proportional to 1,237.53, 1,856.33 and 415.82

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Solution

The fourth proportional to 1,237.53, 1,856.33 and 415.82 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.53 : 1,856.33 = 415.82 : x
  2. Step 2: Convert to fraction form
    1,237.53/1,856.33 = 415.82/x
  3. Step 3: Cross multiply
    1,237.53x = 1,856.33 × 415.82
  4. Step 4: Simplify right side
    1,237.53x = 771,887.78
  5. Step 5: Solve for x
    x = 771,887.78/1,237.53
  6. Step 6: Final answer
    x = 623.73

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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.