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Finding the Fourth Proportional to 1,037.66, 1,431.27 and 816.23

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Solution

The fourth proportional to 1,037.66, 1,431.27 and 816.23 is: 1,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.66 : 1,431.27 = 816.23 : x
  2. Step 2: Convert to fraction form
    1,037.66/1,431.27 = 816.23/x
  3. Step 3: Cross multiply
    1,037.66x = 1,431.27 × 816.23
  4. Step 4: Simplify right side
    1,037.66x = 1,168,241.04
  5. Step 5: Solve for x
    x = 1,168,241.04/1,037.66
  6. Step 6: Final answer
    x = 1,125.84

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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.