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Finding the Fourth Proportional to 1,255.58, 1,879.76 and 948.74

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Solution

The fourth proportional to 1,255.58, 1,879.76 and 948.74 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.58 : 1,879.76 = 948.74 : x
  2. Step 2: Convert to fraction form
    1,255.58/1,879.76 = 948.74/x
  3. Step 3: Cross multiply
    1,255.58x = 1,879.76 × 948.74
  4. Step 4: Simplify right side
    1,255.58x = 1,783,403.50
  5. Step 5: Solve for x
    x = 1,783,403.50/1,255.58
  6. Step 6: Final answer
    x = 1,420.38

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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.