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Finding the Fourth Proportional to 1,281.54, 1,922.34 and 415.86

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Solution

The fourth proportional to 1,281.54, 1,922.34 and 415.86 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.54 : 1,922.34 = 415.86 : x
  2. Step 2: Convert to fraction form
    1,281.54/1,922.34 = 415.86/x
  3. Step 3: Cross multiply
    1,281.54x = 1,922.34 × 415.86
  4. Step 4: Simplify right side
    1,281.54x = 799,424.31
  5. Step 5: Solve for x
    x = 799,424.31/1,281.54
  6. Step 6: Final answer
    x = 623.80

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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.