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Finding the Fourth Proportional to 1,260.76, 1,891.49 and 897.86

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Solution

The fourth proportional to 1,260.76, 1,891.49 and 897.86 is: 1,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.76 : 1,891.49 = 897.86 : x
  2. Step 2: Convert to fraction form
    1,260.76/1,891.49 = 897.86/x
  3. Step 3: Cross multiply
    1,260.76x = 1,891.49 × 897.86
  4. Step 4: Simplify right side
    1,260.76x = 1,698,293.21
  5. Step 5: Solve for x
    x = 1,698,293.21/1,260.76
  6. Step 6: Final answer
    x = 1,347.04

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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.