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Finding the Fourth Proportional to 1,596.32, 2,202.96 and 897.76

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Solution

The fourth proportional to 1,596.32, 2,202.96 and 897.76 is: 1,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.32 : 2,202.96 = 897.76 : x
  2. Step 2: Convert to fraction form
    1,596.32/2,202.96 = 897.76/x
  3. Step 3: Cross multiply
    1,596.32x = 2,202.96 × 897.76
  4. Step 4: Simplify right side
    1,596.32x = 1,977,729.37
  5. Step 5: Solve for x
    x = 1,977,729.37/1,596.32
  6. Step 6: Final answer
    x = 1,238.93

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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.