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Finding the Fourth Proportional to 1,596.38, 2,203.00 and 888.17

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Solution

The fourth proportional to 1,596.38, 2,203.00 and 888.17 is: 1,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.38 : 2,203.00 = 888.17 : x
  2. Step 2: Convert to fraction form
    1,596.38/2,203.00 = 888.17/x
  3. Step 3: Cross multiply
    1,596.38x = 2,203.00 × 888.17
  4. Step 4: Simplify right side
    1,596.38x = 1,956,625.27
  5. Step 5: Solve for x
    x = 1,956,625.27/1,596.38
  6. Step 6: Final answer
    x = 1,225.67

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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.