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Finding the Fourth Proportional to 1,331.46, 1,837.08 and 889.07

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Solution

The fourth proportional to 1,331.46, 1,837.08 and 889.07 is: 1,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.46 : 1,837.08 = 889.07 : x
  2. Step 2: Convert to fraction form
    1,331.46/1,837.08 = 889.07/x
  3. Step 3: Cross multiply
    1,331.46x = 1,837.08 × 889.07
  4. Step 4: Simplify right side
    1,331.46x = 1,633,283.53
  5. Step 5: Solve for x
    x = 1,633,283.53/1,331.46
  6. Step 6: Final answer
    x = 1,226.69

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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.