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Finding the Fourth Proportional to 975.66, 1,463.77 and 482.22

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Solution

The fourth proportional to 975.66, 1,463.77 and 482.22 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,463.77 = 482.22 : x
  2. Step 2: Convert to fraction form
    975.66/1,463.77 = 482.22/x
  3. Step 3: Cross multiply
    975.66x = 1,463.77 × 482.22
  4. Step 4: Simplify right side
    975.66x = 705,859.77
  5. Step 5: Solve for x
    x = 705,859.77/975.66
  6. Step 6: Final answer
    x = 723.47

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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.