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Finding the Fourth Proportional to 1,385.79, 1,912.23 and 788.28

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Solution

The fourth proportional to 1,385.79, 1,912.23 and 788.28 is: 1,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.79 : 1,912.23 = 788.28 : x
  2. Step 2: Convert to fraction form
    1,385.79/1,912.23 = 788.28/x
  3. Step 3: Cross multiply
    1,385.79x = 1,912.23 × 788.28
  4. Step 4: Simplify right side
    1,385.79x = 1,507,372.66
  5. Step 5: Solve for x
    x = 1,507,372.66/1,385.79
  6. Step 6: Final answer
    x = 1,087.74

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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.