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Finding the Fourth Proportional to 857.53, 1,183.18 and 670.69

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Solution

The fourth proportional to 857.53, 1,183.18 and 670.69 is: 925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.53 : 1,183.18 = 670.69 : x
  2. Step 2: Convert to fraction form
    857.53/1,183.18 = 670.69/x
  3. Step 3: Cross multiply
    857.53x = 1,183.18 × 670.69
  4. Step 4: Simplify right side
    857.53x = 793,546.99
  5. Step 5: Solve for x
    x = 793,546.99/857.53
  6. Step 6: Final answer
    x = 925.39

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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.