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Finding the Fourth Proportional to 1,588.01, 2,191.46 and 998.83

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Solution

The fourth proportional to 1,588.01, 2,191.46 and 998.83 is: 1,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.01 : 2,191.46 = 998.83 : x
  2. Step 2: Convert to fraction form
    1,588.01/2,191.46 = 998.83/x
  3. Step 3: Cross multiply
    1,588.01x = 2,191.46 × 998.83
  4. Step 4: Simplify right side
    1,588.01x = 2,188,893.74
  5. Step 5: Solve for x
    x = 2,188,893.74/1,588.01
  6. Step 6: Final answer
    x = 1,378.39

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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.