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Finding the Fourth Proportional to 1,342.05, 2,005.30 and 970.09

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Solution

The fourth proportional to 1,342.05, 2,005.30 and 970.09 is: 1,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.05 : 2,005.30 = 970.09 : x
  2. Step 2: Convert to fraction form
    1,342.05/2,005.30 = 970.09/x
  3. Step 3: Cross multiply
    1,342.05x = 2,005.30 × 970.09
  4. Step 4: Simplify right side
    1,342.05x = 1,945,321.48
  5. Step 5: Solve for x
    x = 1,945,321.48/1,342.05
  6. Step 6: Final answer
    x = 1,449.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.