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Finding the Fourth Proportional to 1,165.24, 1,606.99 and 828.48

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Solution

The fourth proportional to 1,165.24, 1,606.99 and 828.48 is: 1,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.24 : 1,606.99 = 828.48 : x
  2. Step 2: Convert to fraction form
    1,165.24/1,606.99 = 828.48/x
  3. Step 3: Cross multiply
    1,165.24x = 1,606.99 × 828.48
  4. Step 4: Simplify right side
    1,165.24x = 1,331,359.08
  5. Step 5: Solve for x
    x = 1,331,359.08/1,165.24
  6. Step 6: Final answer
    x = 1,142.56

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1.5x scale

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.