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Finding the Fourth Proportional to 1,122.46, 1,683.44 and 711.04

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Solution

The fourth proportional to 1,122.46, 1,683.44 and 711.04 is: 1,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.46 : 1,683.44 = 711.04 : x
  2. Step 2: Convert to fraction form
    1,122.46/1,683.44 = 711.04/x
  3. Step 3: Cross multiply
    1,122.46x = 1,683.44 × 711.04
  4. Step 4: Simplify right side
    1,122.46x = 1,196,993.18
  5. Step 5: Solve for x
    x = 1,196,993.18/1,122.46
  6. Step 6: Final answer
    x = 1,066.40

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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.