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Finding the Fourth Proportional to 1,237.45, 1,856.12 and 415.70

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Solution

The fourth proportional to 1,237.45, 1,856.12 and 415.70 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.45 : 1,856.12 = 415.70 : x
  2. Step 2: Convert to fraction form
    1,237.45/1,856.12 = 415.70/x
  3. Step 3: Cross multiply
    1,237.45x = 1,856.12 × 415.70
  4. Step 4: Simplify right side
    1,237.45x = 771,589.08
  5. Step 5: Solve for x
    x = 771,589.08/1,237.45
  6. Step 6: Final answer
    x = 623.53

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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.