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Finding the Fourth Proportional to 1,370.40, 2,055.84 and 601.44

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Solution

The fourth proportional to 1,370.40, 2,055.84 and 601.44 is: 902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.40 : 2,055.84 = 601.44 : x
  2. Step 2: Convert to fraction form
    1,370.40/2,055.84 = 601.44/x
  3. Step 3: Cross multiply
    1,370.40x = 2,055.84 × 601.44
  4. Step 4: Simplify right side
    1,370.40x = 1,236,464.41
  5. Step 5: Solve for x
    x = 1,236,464.41/1,370.40
  6. Step 6: Final answer
    x = 902.27

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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.