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Finding the Fourth Proportional to 1,047.84, 1,447.46 and 974.04

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Solution

The fourth proportional to 1,047.84, 1,447.46 and 974.04 is: 1,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.84 : 1,447.46 = 974.04 : x
  2. Step 2: Convert to fraction form
    1,047.84/1,447.46 = 974.04/x
  3. Step 3: Cross multiply
    1,047.84x = 1,447.46 × 974.04
  4. Step 4: Simplify right side
    1,047.84x = 1,409,883.94
  5. Step 5: Solve for x
    x = 1,409,883.94/1,047.84
  6. Step 6: Final answer
    x = 1,345.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.