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Finding the Fourth Proportional to 1,119.61, 1,688.74 and 984.34

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Solution

The fourth proportional to 1,119.61, 1,688.74 and 984.34 is: 1,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.61 : 1,688.74 = 984.34 : x
  2. Step 2: Convert to fraction form
    1,119.61/1,688.74 = 984.34/x
  3. Step 3: Cross multiply
    1,119.61x = 1,688.74 × 984.34
  4. Step 4: Simplify right side
    1,119.61x = 1,662,294.33
  5. Step 5: Solve for x
    x = 1,662,294.33/1,119.61
  6. Step 6: Final answer
    x = 1,484.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.