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Finding the Fourth Proportional to 1,162.98, 1,604.36 and 848.14

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Solution

The fourth proportional to 1,162.98, 1,604.36 and 848.14 is: 1,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.98 : 1,604.36 = 848.14 : x
  2. Step 2: Convert to fraction form
    1,162.98/1,604.36 = 848.14/x
  3. Step 3: Cross multiply
    1,162.98x = 1,604.36 × 848.14
  4. Step 4: Simplify right side
    1,162.98x = 1,360,720.00
  5. Step 5: Solve for x
    x = 1,360,720.00/1,162.98
  6. Step 6: Final answer
    x = 1,170.03

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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.