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Finding the Fourth Proportional to 1,277.03, 1,911.57 and 983.78

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Solution

The fourth proportional to 1,277.03, 1,911.57 and 983.78 is: 1,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.03 : 1,911.57 = 983.78 : x
  2. Step 2: Convert to fraction form
    1,277.03/1,911.57 = 983.78/x
  3. Step 3: Cross multiply
    1,277.03x = 1,911.57 × 983.78
  4. Step 4: Simplify right side
    1,277.03x = 1,880,554.78
  5. Step 5: Solve for x
    x = 1,880,554.78/1,277.03
  6. Step 6: Final answer
    x = 1,472.60

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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.