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Finding the Fourth Proportional to 618.90, 926.46 and 578.94

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Solution

The fourth proportional to 618.90, 926.46 and 578.94 is: 866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.90 : 926.46 = 578.94 : x
  2. Step 2: Convert to fraction form
    618.90/926.46 = 578.94/x
  3. Step 3: Cross multiply
    618.90x = 926.46 × 578.94
  4. Step 4: Simplify right side
    618.90x = 536,364.75
  5. Step 5: Solve for x
    x = 536,364.75/618.90
  6. Step 6: Final answer
    x = 866.64

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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.