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Finding the Fourth Proportional to 1,270.86, 1,751.40 and 1,018.50

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Solution

The fourth proportional to 1,270.86, 1,751.40 and 1,018.50 is: 1,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.86 : 1,751.40 = 1,018.50 : x
  2. Step 2: Convert to fraction form
    1,270.86/1,751.40 = 1,018.50/x
  3. Step 3: Cross multiply
    1,270.86x = 1,751.40 × 1,018.50
  4. Step 4: Simplify right side
    1,270.86x = 1,783,800.90
  5. Step 5: Solve for x
    x = 1,783,800.90/1,270.86
  6. Step 6: Final answer
    x = 1,403.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.