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Finding the Fourth Proportional to 699.42, 1,048.84 and 230.78

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Solution

The fourth proportional to 699.42, 1,048.84 and 230.78 is: 346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.42 : 1,048.84 = 230.78 : x
  2. Step 2: Convert to fraction form
    699.42/1,048.84 = 230.78/x
  3. Step 3: Cross multiply
    699.42x = 1,048.84 × 230.78
  4. Step 4: Simplify right side
    699.42x = 242,051.30
  5. Step 5: Solve for x
    x = 242,051.30/699.42
  6. Step 6: Final answer
    x = 346.07

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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.