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Finding the Fourth Proportional to 1,191.84, 1,647.20 and 1,047.76

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Solution

The fourth proportional to 1,191.84, 1,647.20 and 1,047.76 is: 1,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.84 : 1,647.20 = 1,047.76 : x
  2. Step 2: Convert to fraction form
    1,191.84/1,647.20 = 1,047.76/x
  3. Step 3: Cross multiply
    1,191.84x = 1,647.20 × 1,047.76
  4. Step 4: Simplify right side
    1,191.84x = 1,725,870.27
  5. Step 5: Solve for x
    x = 1,725,870.27/1,191.84
  6. Step 6: Final answer
    x = 1,448.07

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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.