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Finding the Fourth Proportional to 1,193.76, 1,788.70 and 607.96

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Solution

The fourth proportional to 1,193.76, 1,788.70 and 607.96 is: 910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.76 : 1,788.70 = 607.96 : x
  2. Step 2: Convert to fraction form
    1,193.76/1,788.70 = 607.96/x
  3. Step 3: Cross multiply
    1,193.76x = 1,788.70 × 607.96
  4. Step 4: Simplify right side
    1,193.76x = 1,087,458.05
  5. Step 5: Solve for x
    x = 1,087,458.05/1,193.76
  6. Step 6: Final answer
    x = 910.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.