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Finding the Fourth Proportional to 1,023.94, 1,412.61 and 604.12

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Solution

The fourth proportional to 1,023.94, 1,412.61 and 604.12 is: 833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.94 : 1,412.61 = 604.12 : x
  2. Step 2: Convert to fraction form
    1,023.94/1,412.61 = 604.12/x
  3. Step 3: Cross multiply
    1,023.94x = 1,412.61 × 604.12
  4. Step 4: Simplify right side
    1,023.94x = 853,382.93
  5. Step 5: Solve for x
    x = 853,382.93/1,023.94
  6. Step 6: Final answer
    x = 833.43

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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.