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Finding the Fourth Proportional to 954.03, 1,319.46 and 855.75

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Solution

The fourth proportional to 954.03, 1,319.46 and 855.75 is: 1,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.03 : 1,319.46 = 855.75 : x
  2. Step 2: Convert to fraction form
    954.03/1,319.46 = 855.75/x
  3. Step 3: Cross multiply
    954.03x = 1,319.46 × 855.75
  4. Step 4: Simplify right side
    954.03x = 1,129,127.90
  5. Step 5: Solve for x
    x = 1,129,127.90/954.03
  6. Step 6: Final answer
    x = 1,183.53

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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.