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Finding the Fourth Proportional to 1,162.30, 1,735.48 and 957.27

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Solution

The fourth proportional to 1,162.30, 1,735.48 and 957.27 is: 1,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.30 : 1,735.48 = 957.27 : x
  2. Step 2: Convert to fraction form
    1,162.30/1,735.48 = 957.27/x
  3. Step 3: Cross multiply
    1,162.30x = 1,735.48 × 957.27
  4. Step 4: Simplify right side
    1,162.30x = 1,661,315.50
  5. Step 5: Solve for x
    x = 1,661,315.50/1,162.30
  6. Step 6: Final answer
    x = 1,429.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.