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Finding the Fourth Proportional to 1,370.80, 2,054.80 and 676.40

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Solution

The fourth proportional to 1,370.80, 2,054.80 and 676.40 is: 1,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.80 : 2,054.80 = 676.40 : x
  2. Step 2: Convert to fraction form
    1,370.80/2,054.80 = 676.40/x
  3. Step 3: Cross multiply
    1,370.80x = 2,054.80 × 676.40
  4. Step 4: Simplify right side
    1,370.80x = 1,389,866.72
  5. Step 5: Solve for x
    x = 1,389,866.72/1,370.80
  6. Step 6: Final answer
    x = 1,013.91

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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.