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Finding the Fourth Proportional to 1,247.48, 1,869.98 and 700.12

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Solution

The fourth proportional to 1,247.48, 1,869.98 and 700.12 is: 1,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.48 : 1,869.98 = 700.12 : x
  2. Step 2: Convert to fraction form
    1,247.48/1,869.98 = 700.12/x
  3. Step 3: Cross multiply
    1,247.48x = 1,869.98 × 700.12
  4. Step 4: Simplify right side
    1,247.48x = 1,309,210.40
  5. Step 5: Solve for x
    x = 1,309,210.40/1,247.48
  6. Step 6: Final answer
    x = 1,049.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.