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Finding the Fourth Proportional to 975.89, 1,463.78 and 482.66

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Solution

The fourth proportional to 975.89, 1,463.78 and 482.66 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.89 : 1,463.78 = 482.66 : x
  2. Step 2: Convert to fraction form
    975.89/1,463.78 = 482.66/x
  3. Step 3: Cross multiply
    975.89x = 1,463.78 × 482.66
  4. Step 4: Simplify right side
    975.89x = 706,498.32
  5. Step 5: Solve for x
    x = 706,498.32/975.89
  6. Step 6: Final answer
    x = 723.96

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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.