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Finding the Fourth Proportional to 1,047.74, 1,441.53 and 1,023.17

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Solution

The fourth proportional to 1,047.74, 1,441.53 and 1,023.17 is: 1,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.74 : 1,441.53 = 1,023.17 : x
  2. Step 2: Convert to fraction form
    1,047.74/1,441.53 = 1,023.17/x
  3. Step 3: Cross multiply
    1,047.74x = 1,441.53 × 1,023.17
  4. Step 4: Simplify right side
    1,047.74x = 1,474,923.04
  5. Step 5: Solve for x
    x = 1,474,923.04/1,047.74
  6. Step 6: Final answer
    x = 1,407.73

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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.