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Finding the Fourth Proportional to 1,065.64, 1,596 and 849.34

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Solution

The fourth proportional to 1,065.64, 1,596 and 849.34 is: 1,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.64 : 1,596 = 849.34 : x
  2. Step 2: Convert to fraction form
    1,065.64/1,596 = 849.34/x
  3. Step 3: Cross multiply
    1,065.64x = 1,596 × 849.34
  4. Step 4: Simplify right side
    1,065.64x = 1,355,546.64
  5. Step 5: Solve for x
    x = 1,355,546.64/1,065.64
  6. Step 6: Final answer
    x = 1,272.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.