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Finding the Fourth Proportional to 1,074.93, 1,483.56 and 683.10

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Solution

The fourth proportional to 1,074.93, 1,483.56 and 683.10 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.93 : 1,483.56 = 683.10 : x
  2. Step 2: Convert to fraction form
    1,074.93/1,483.56 = 683.10/x
  3. Step 3: Cross multiply
    1,074.93x = 1,483.56 × 683.10
  4. Step 4: Simplify right side
    1,074.93x = 1,013,419.84
  5. Step 5: Solve for x
    x = 1,013,419.84/1,074.93
  6. Step 6: Final answer
    x = 942.78

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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.