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Finding the Fourth Proportional to 1,230.50, 1,696.75 and 1,113.86

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Solution

The fourth proportional to 1,230.50, 1,696.75 and 1,113.86 is: 1,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.50 : 1,696.75 = 1,113.86 : x
  2. Step 2: Convert to fraction form
    1,230.50/1,696.75 = 1,113.86/x
  3. Step 3: Cross multiply
    1,230.50x = 1,696.75 × 1,113.86
  4. Step 4: Simplify right side
    1,230.50x = 1,889,943.41
  5. Step 5: Solve for x
    x = 1,889,943.41/1,230.50
  6. Step 6: Final answer
    x = 1,535.91

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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.