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Finding the Fourth Proportional to 975.04, 1,453.96 and 966.26

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Solution

The fourth proportional to 975.04, 1,453.96 and 966.26 is: 1,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.04 : 1,453.96 = 966.26 : x
  2. Step 2: Convert to fraction form
    975.04/1,453.96 = 966.26/x
  3. Step 3: Cross multiply
    975.04x = 1,453.96 × 966.26
  4. Step 4: Simplify right side
    975.04x = 1,404,903.39
  5. Step 5: Solve for x
    x = 1,404,903.39/975.04
  6. Step 6: Final answer
    x = 1,440.87

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Why These Related Problems?

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