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Finding the Fourth Proportional to 647.94, 966.90 and 578.72

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Solution

The fourth proportional to 647.94, 966.90 and 578.72 is: 863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 966.90 = 578.72 : x
  2. Step 2: Convert to fraction form
    647.94/966.90 = 578.72/x
  3. Step 3: Cross multiply
    647.94x = 966.90 × 578.72
  4. Step 4: Simplify right side
    647.94x = 559,559.53
  5. Step 5: Solve for x
    x = 559,559.53/647.94
  6. Step 6: Final answer
    x = 863.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.