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Finding the Fourth Proportional to 1,148.54, 1,721.96 and 368.09

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Solution

The fourth proportional to 1,148.54, 1,721.96 and 368.09 is: 551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.54 : 1,721.96 = 368.09 : x
  2. Step 2: Convert to fraction form
    1,148.54/1,721.96 = 368.09/x
  3. Step 3: Cross multiply
    1,148.54x = 1,721.96 × 368.09
  4. Step 4: Simplify right side
    1,148.54x = 633,825.81
  5. Step 5: Solve for x
    x = 633,825.81/1,148.54
  6. Step 6: Final answer
    x = 551.86

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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.