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Finding the Fourth Proportional to 962.84, 1,443.66 and 476.12

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Solution

The fourth proportional to 962.84, 1,443.66 and 476.12 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.84 : 1,443.66 = 476.12 : x
  2. Step 2: Convert to fraction form
    962.84/1,443.66 = 476.12/x
  3. Step 3: Cross multiply
    962.84x = 1,443.66 × 476.12
  4. Step 4: Simplify right side
    962.84x = 687,355.40
  5. Step 5: Solve for x
    x = 687,355.40/962.84
  6. Step 6: Final answer
    x = 713.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.