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Finding the Fourth Proportional to 946.58, 1,418.85 and 830.74

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Solution

The fourth proportional to 946.58, 1,418.85 and 830.74 is: 1,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.58 : 1,418.85 = 830.74 : x
  2. Step 2: Convert to fraction form
    946.58/1,418.85 = 830.74/x
  3. Step 3: Cross multiply
    946.58x = 1,418.85 × 830.74
  4. Step 4: Simplify right side
    946.58x = 1,178,695.45
  5. Step 5: Solve for x
    x = 1,178,695.45/946.58
  6. Step 6: Final answer
    x = 1,245.21

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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.