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Finding the Fourth Proportional to 1,396.95, 1,928.41 and 899.86

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Solution

The fourth proportional to 1,396.95, 1,928.41 and 899.86 is: 1,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.95 : 1,928.41 = 899.86 : x
  2. Step 2: Convert to fraction form
    1,396.95/1,928.41 = 899.86/x
  3. Step 3: Cross multiply
    1,396.95x = 1,928.41 × 899.86
  4. Step 4: Simplify right side
    1,396.95x = 1,735,295.57
  5. Step 5: Solve for x
    x = 1,735,295.57/1,396.95
  6. Step 6: Final answer
    x = 1,242.21

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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.