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Finding the Fourth Proportional to 1,385.65, 1,912.23 and 788.24

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Solution

The fourth proportional to 1,385.65, 1,912.23 and 788.24 is: 1,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.65 : 1,912.23 = 788.24 : x
  2. Step 2: Convert to fraction form
    1,385.65/1,912.23 = 788.24/x
  3. Step 3: Cross multiply
    1,385.65x = 1,912.23 × 788.24
  4. Step 4: Simplify right side
    1,385.65x = 1,507,300.96
  5. Step 5: Solve for x
    x = 1,507,300.96/1,385.65
  6. Step 6: Final answer
    x = 1,087.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.