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Finding the Fourth Proportional to 699.44, 1,048.73 and 288.36

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Solution

The fourth proportional to 699.44, 1,048.73 and 288.36 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.44 : 1,048.73 = 288.36 : x
  2. Step 2: Convert to fraction form
    699.44/1,048.73 = 288.36/x
  3. Step 3: Cross multiply
    699.44x = 1,048.73 × 288.36
  4. Step 4: Simplify right side
    699.44x = 302,410.34
  5. Step 5: Solve for x
    x = 302,410.34/699.44
  6. Step 6: Final answer
    x = 432.36

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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.