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Finding the Fourth Proportional to 857.95, 1,183.62 and 543.25

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Solution

The fourth proportional to 857.95, 1,183.62 and 543.25 is: 749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.95 : 1,183.62 = 543.25 : x
  2. Step 2: Convert to fraction form
    857.95/1,183.62 = 543.25/x
  3. Step 3: Cross multiply
    857.95x = 1,183.62 × 543.25
  4. Step 4: Simplify right side
    857.95x = 643,001.57
  5. Step 5: Solve for x
    x = 643,001.57/857.95
  6. Step 6: Final answer
    x = 749.46

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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.