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Finding the Fourth Proportional to 854.03, 1,277.76 and 578.81

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Solution

The fourth proportional to 854.03, 1,277.76 and 578.81 is: 865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.03 : 1,277.76 = 578.81 : x
  2. Step 2: Convert to fraction form
    854.03/1,277.76 = 578.81/x
  3. Step 3: Cross multiply
    854.03x = 1,277.76 × 578.81
  4. Step 4: Simplify right side
    854.03x = 739,580.27
  5. Step 5: Solve for x
    x = 739,580.27/854.03
  6. Step 6: Final answer
    x = 865.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.