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Finding the Fourth Proportional to 857.52, 1,181.66 and 621.06

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Solution

The fourth proportional to 857.52, 1,181.66 and 621.06 is: 855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.52 : 1,181.66 = 621.06 : x
  2. Step 2: Convert to fraction form
    857.52/1,181.66 = 621.06/x
  3. Step 3: Cross multiply
    857.52x = 1,181.66 × 621.06
  4. Step 4: Simplify right side
    857.52x = 733,881.76
  5. Step 5: Solve for x
    x = 733,881.76/857.52
  6. Step 6: Final answer
    x = 855.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.