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Finding the Fourth Proportional to 1,033.42, 1,425.58 and 683.50

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Solution

The fourth proportional to 1,033.42, 1,425.58 and 683.50 is: 942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.42 : 1,425.58 = 683.50 : x
  2. Step 2: Convert to fraction form
    1,033.42/1,425.58 = 683.50/x
  3. Step 3: Cross multiply
    1,033.42x = 1,425.58 × 683.50
  4. Step 4: Simplify right side
    1,033.42x = 974,383.93
  5. Step 5: Solve for x
    x = 974,383.93/1,033.42
  6. Step 6: Final answer
    x = 942.87

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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.