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Finding the Fourth Proportional to 1,330.62, 1,995.76 and 837.10

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Solution

The fourth proportional to 1,330.62, 1,995.76 and 837.10 is: 1,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.62 : 1,995.76 = 837.10 : x
  2. Step 2: Convert to fraction form
    1,330.62/1,995.76 = 837.10/x
  3. Step 3: Cross multiply
    1,330.62x = 1,995.76 × 837.10
  4. Step 4: Simplify right side
    1,330.62x = 1,670,650.70
  5. Step 5: Solve for x
    x = 1,670,650.70/1,330.62
  6. Step 6: Final answer
    x = 1,255.54

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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.