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Finding the Fourth Proportional to 962.68, 1,442.60 and 551.94

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Solution

The fourth proportional to 962.68, 1,442.60 and 551.94 is: 827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.68 : 1,442.60 = 551.94 : x
  2. Step 2: Convert to fraction form
    962.68/1,442.60 = 551.94/x
  3. Step 3: Cross multiply
    962.68x = 1,442.60 × 551.94
  4. Step 4: Simplify right side
    962.68x = 796,228.64
  5. Step 5: Solve for x
    x = 796,228.64/962.68
  6. Step 6: Final answer
    x = 827.10

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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.