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Finding the Fourth Proportional to 1,518.51, 2,278.31 and 594.73

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Solution

The fourth proportional to 1,518.51, 2,278.31 and 594.73 is: 892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.51 : 2,278.31 = 594.73 : x
  2. Step 2: Convert to fraction form
    1,518.51/2,278.31 = 594.73/x
  3. Step 3: Cross multiply
    1,518.51x = 2,278.31 × 594.73
  4. Step 4: Simplify right side
    1,518.51x = 1,354,979.31
  5. Step 5: Solve for x
    x = 1,354,979.31/1,518.51
  6. Step 6: Final answer
    x = 892.31

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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.