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Finding the Fourth Proportional to 787.93, 1,182.42 and 274.93

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Solution

The fourth proportional to 787.93, 1,182.42 and 274.93 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.93 : 1,182.42 = 274.93 : x
  2. Step 2: Convert to fraction form
    787.93/1,182.42 = 274.93/x
  3. Step 3: Cross multiply
    787.93x = 1,182.42 × 274.93
  4. Step 4: Simplify right side
    787.93x = 325,079.77
  5. Step 5: Solve for x
    x = 325,079.77/787.93
  6. Step 6: Final answer
    x = 412.58

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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.