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Finding the Fourth Proportional to 975.03, 1,461.27 and 743.06

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Solution

The fourth proportional to 975.03, 1,461.27 and 743.06 is: 1,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,461.27 = 743.06 : x
  2. Step 2: Convert to fraction form
    975.03/1,461.27 = 743.06/x
  3. Step 3: Cross multiply
    975.03x = 1,461.27 × 743.06
  4. Step 4: Simplify right side
    975.03x = 1,085,817.73
  5. Step 5: Solve for x
    x = 1,085,817.73/975.03
  6. Step 6: Final answer
    x = 1,113.63

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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.