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Finding the Fourth Proportional to 1,002.06, 1,505.26 and 848.30

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Solution

The fourth proportional to 1,002.06, 1,505.26 and 848.30 is: 1,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.06 : 1,505.26 = 848.30 : x
  2. Step 2: Convert to fraction form
    1,002.06/1,505.26 = 848.30/x
  3. Step 3: Cross multiply
    1,002.06x = 1,505.26 × 848.30
  4. Step 4: Simplify right side
    1,002.06x = 1,276,912.06
  5. Step 5: Solve for x
    x = 1,276,912.06/1,002.06
  6. Step 6: Final answer
    x = 1,274.29

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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.