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Finding the Fourth Proportional to 1,520.89, 2,099.36 and 891.63

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Solution

The fourth proportional to 1,520.89, 2,099.36 and 891.63 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.89 : 2,099.36 = 891.63 : x
  2. Step 2: Convert to fraction form
    1,520.89/2,099.36 = 891.63/x
  3. Step 3: Cross multiply
    1,520.89x = 2,099.36 × 891.63
  4. Step 4: Simplify right side
    1,520.89x = 1,871,852.36
  5. Step 5: Solve for x
    x = 1,871,852.36/1,520.89
  6. Step 6: Final answer
    x = 1,230.76

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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.