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Finding the Fourth Proportional to 975.57, 1,450.80 and 944.81

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Solution

The fourth proportional to 975.57, 1,450.80 and 944.81 is: 1,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.57 : 1,450.80 = 944.81 : x
  2. Step 2: Convert to fraction form
    975.57/1,450.80 = 944.81/x
  3. Step 3: Cross multiply
    975.57x = 1,450.80 × 944.81
  4. Step 4: Simplify right side
    975.57x = 1,370,730.35
  5. Step 5: Solve for x
    x = 1,370,730.35/975.57
  6. Step 6: Final answer
    x = 1,405.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.