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Finding the Fourth Proportional to 857.59, 1,183.35 and 578.41

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Solution

The fourth proportional to 857.59, 1,183.35 and 578.41 is: 798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.59 : 1,183.35 = 578.41 : x
  2. Step 2: Convert to fraction form
    857.59/1,183.35 = 578.41/x
  3. Step 3: Cross multiply
    857.59x = 1,183.35 × 578.41
  4. Step 4: Simplify right side
    857.59x = 684,461.47
  5. Step 5: Solve for x
    x = 684,461.47/857.59
  6. Step 6: Final answer
    x = 798.12

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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.