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Finding the Fourth Proportional to 1,305.03, 1,799.54 and 990.87

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Solution

The fourth proportional to 1,305.03, 1,799.54 and 990.87 is: 1,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.03 : 1,799.54 = 990.87 : x
  2. Step 2: Convert to fraction form
    1,305.03/1,799.54 = 990.87/x
  3. Step 3: Cross multiply
    1,305.03x = 1,799.54 × 990.87
  4. Step 4: Simplify right side
    1,305.03x = 1,783,105.25
  5. Step 5: Solve for x
    x = 1,783,105.25/1,305.03
  6. Step 6: Final answer
    x = 1,366.33

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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.