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Finding the Fourth Proportional to 1,237.78, 1,856.86 and 404.58

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Solution

The fourth proportional to 1,237.78, 1,856.86 and 404.58 is: 606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.78 : 1,856.86 = 404.58 : x
  2. Step 2: Convert to fraction form
    1,237.78/1,856.86 = 404.58/x
  3. Step 3: Cross multiply
    1,237.78x = 1,856.86 × 404.58
  4. Step 4: Simplify right side
    1,237.78x = 751,248.42
  5. Step 5: Solve for x
    x = 751,248.42/1,237.78
  6. Step 6: Final answer
    x = 606.93

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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.