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Finding the Fourth Proportional to 1,243.90, 1,715.07 and 1,096.30

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Solution

The fourth proportional to 1,243.90, 1,715.07 and 1,096.30 is: 1,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.90 : 1,715.07 = 1,096.30 : x
  2. Step 2: Convert to fraction form
    1,243.90/1,715.07 = 1,096.30/x
  3. Step 3: Cross multiply
    1,243.90x = 1,715.07 × 1,096.30
  4. Step 4: Simplify right side
    1,243.90x = 1,880,231.24
  5. Step 5: Solve for x
    x = 1,880,231.24/1,243.90
  6. Step 6: Final answer
    x = 1,511.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.