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Finding the Fourth Proportional to 962.89, 1,329.01 and 816.62

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Solution

The fourth proportional to 962.89, 1,329.01 and 816.62 is: 1,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.89 : 1,329.01 = 816.62 : x
  2. Step 2: Convert to fraction form
    962.89/1,329.01 = 816.62/x
  3. Step 3: Cross multiply
    962.89x = 1,329.01 × 816.62
  4. Step 4: Simplify right side
    962.89x = 1,085,287.46
  5. Step 5: Solve for x
    x = 1,085,287.46/962.89
  6. Step 6: Final answer
    x = 1,127.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.