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Finding the Fourth Proportional to 1,165.02, 1,607.97 and 815.50

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Solution

The fourth proportional to 1,165.02, 1,607.97 and 815.50 is: 1,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.02 : 1,607.97 = 815.50 : x
  2. Step 2: Convert to fraction form
    1,165.02/1,607.97 = 815.50/x
  3. Step 3: Cross multiply
    1,165.02x = 1,607.97 × 815.50
  4. Step 4: Simplify right side
    1,165.02x = 1,311,299.54
  5. Step 5: Solve for x
    x = 1,311,299.54/1,165.02
  6. Step 6: Final answer
    x = 1,125.56

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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.