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Finding the Fourth Proportional to 1,165.40, 1,608.04 and 772.28

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Solution

The fourth proportional to 1,165.40, 1,608.04 and 772.28 is: 1,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.40 : 1,608.04 = 772.28 : x
  2. Step 2: Convert to fraction form
    1,165.40/1,608.04 = 772.28/x
  3. Step 3: Cross multiply
    1,165.40x = 1,608.04 × 772.28
  4. Step 4: Simplify right side
    1,165.40x = 1,241,857.13
  5. Step 5: Solve for x
    x = 1,241,857.13/1,165.40
  6. Step 6: Final answer
    x = 1,065.61

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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.