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Finding the Fourth Proportional to 1,263.57, 1,742.92 and 816.02

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Solution

The fourth proportional to 1,263.57, 1,742.92 and 816.02 is: 1,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.57 : 1,742.92 = 816.02 : x
  2. Step 2: Convert to fraction form
    1,263.57/1,742.92 = 816.02/x
  3. Step 3: Cross multiply
    1,263.57x = 1,742.92 × 816.02
  4. Step 4: Simplify right side
    1,263.57x = 1,422,257.58
  5. Step 5: Solve for x
    x = 1,422,257.58/1,263.57
  6. Step 6: Final answer
    x = 1,125.59

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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.