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Finding the Fourth Proportional to 975.04, 1,462.86 and 682.83

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Solution

The fourth proportional to 975.04, 1,462.86 and 682.83 is: 1,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.04 : 1,462.86 = 682.83 : x
  2. Step 2: Convert to fraction form
    975.04/1,462.86 = 682.83/x
  3. Step 3: Cross multiply
    975.04x = 1,462.86 × 682.83
  4. Step 4: Simplify right side
    975.04x = 998,884.69
  5. Step 5: Solve for x
    x = 998,884.69/975.04
  6. Step 6: Final answer
    x = 1,024.46

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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.