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Finding the Fourth Proportional to 788.40, 1,087.83 and 601.56

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Solution

The fourth proportional to 788.40, 1,087.83 and 601.56 is: 830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.40 : 1,087.83 = 601.56 : x
  2. Step 2: Convert to fraction form
    788.40/1,087.83 = 601.56/x
  3. Step 3: Cross multiply
    788.40x = 1,087.83 × 601.56
  4. Step 4: Simplify right side
    788.40x = 654,395.01
  5. Step 5: Solve for x
    x = 654,395.01/788.40
  6. Step 6: Final answer
    x = 830.03

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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.