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Finding the Fourth Proportional to 1,330.89, 1,837.03 and 911.07

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Solution

The fourth proportional to 1,330.89, 1,837.03 and 911.07 is: 1,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.89 : 1,837.03 = 911.07 : x
  2. Step 2: Convert to fraction form
    1,330.89/1,837.03 = 911.07/x
  3. Step 3: Cross multiply
    1,330.89x = 1,837.03 × 911.07
  4. Step 4: Simplify right side
    1,330.89x = 1,673,662.92
  5. Step 5: Solve for x
    x = 1,673,662.92/1,330.89
  6. Step 6: Final answer
    x = 1,257.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.