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Finding the Fourth Proportional to 1,246.94, 1,871.88 and 699.56

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Solution

The fourth proportional to 1,246.94, 1,871.88 and 699.56 is: 1,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.94 : 1,871.88 = 699.56 : x
  2. Step 2: Convert to fraction form
    1,246.94/1,871.88 = 699.56/x
  3. Step 3: Cross multiply
    1,246.94x = 1,871.88 × 699.56
  4. Step 4: Simplify right side
    1,246.94x = 1,309,492.37
  5. Step 5: Solve for x
    x = 1,309,492.37/1,246.94
  6. Step 6: Final answer
    x = 1,050.16

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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.