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Finding the Fourth Proportional to 1,023.84, 1,536.54 and 611.73

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Solution

The fourth proportional to 1,023.84, 1,536.54 and 611.73 is: 918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.84 : 1,536.54 = 611.73 : x
  2. Step 2: Convert to fraction form
    1,023.84/1,536.54 = 611.73/x
  3. Step 3: Cross multiply
    1,023.84x = 1,536.54 × 611.73
  4. Step 4: Simplify right side
    1,023.84x = 939,947.61
  5. Step 5: Solve for x
    x = 939,947.61/1,023.84
  6. Step 6: Final answer
    x = 918.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.