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Finding the Fourth Proportional to 1,299.85, 1,946.23 and 886.95

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Solution

The fourth proportional to 1,299.85, 1,946.23 and 886.95 is: 1,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.85 : 1,946.23 = 886.95 : x
  2. Step 2: Convert to fraction form
    1,299.85/1,946.23 = 886.95/x
  3. Step 3: Cross multiply
    1,299.85x = 1,946.23 × 886.95
  4. Step 4: Simplify right side
    1,299.85x = 1,726,206.48
  5. Step 5: Solve for x
    x = 1,726,206.48/1,299.85
  6. Step 6: Final answer
    x = 1,328.01

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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.