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Finding the Fourth Proportional to 1,596.45, 2,203.08 and 897.82

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Solution

The fourth proportional to 1,596.45, 2,203.08 and 897.82 is: 1,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.45 : 2,203.08 = 897.82 : x
  2. Step 2: Convert to fraction form
    1,596.45/2,203.08 = 897.82/x
  3. Step 3: Cross multiply
    1,596.45x = 2,203.08 × 897.82
  4. Step 4: Simplify right side
    1,596.45x = 1,977,975.86
  5. Step 5: Solve for x
    x = 1,977,975.86/1,596.45
  6. Step 6: Final answer
    x = 1,238.98

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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.