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Finding the Fourth Proportional to 1,599.37, 2,399.96 and 869.45

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Solution

The fourth proportional to 1,599.37, 2,399.96 and 869.45 is: 1,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.37 : 2,399.96 = 869.45 : x
  2. Step 2: Convert to fraction form
    1,599.37/2,399.96 = 869.45/x
  3. Step 3: Cross multiply
    1,599.37x = 2,399.96 × 869.45
  4. Step 4: Simplify right side
    1,599.37x = 2,086,645.22
  5. Step 5: Solve for x
    x = 2,086,645.22/1,599.37
  6. Step 6: Final answer
    x = 1,304.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.