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Finding the Fourth Proportional to 971.46, 1,447.84 and 969.94

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Solution

The fourth proportional to 971.46, 1,447.84 and 969.94 is: 1,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.46 : 1,447.84 = 969.94 : x
  2. Step 2: Convert to fraction form
    971.46/1,447.84 = 969.94/x
  3. Step 3: Cross multiply
    971.46x = 1,447.84 × 969.94
  4. Step 4: Simplify right side
    971.46x = 1,404,320.95
  5. Step 5: Solve for x
    x = 1,404,320.95/971.46
  6. Step 6: Final answer
    x = 1,445.58

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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.