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Finding the Fourth Proportional to 971.23, 1,446.62 and 950.98

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Solution

The fourth proportional to 971.23, 1,446.62 and 950.98 is: 1,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.23 : 1,446.62 = 950.98 : x
  2. Step 2: Convert to fraction form
    971.23/1,446.62 = 950.98/x
  3. Step 3: Cross multiply
    971.23x = 1,446.62 × 950.98
  4. Step 4: Simplify right side
    971.23x = 1,375,702.37
  5. Step 5: Solve for x
    x = 1,375,702.37/971.23
  6. Step 6: Final answer
    x = 1,416.45

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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.