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Finding the Fourth Proportional to 1,654.40, 2,481.53 and 558.77

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Solution

The fourth proportional to 1,654.40, 2,481.53 and 558.77 is: 838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.40 : 2,481.53 = 558.77 : x
  2. Step 2: Convert to fraction form
    1,654.40/2,481.53 = 558.77/x
  3. Step 3: Cross multiply
    1,654.40x = 2,481.53 × 558.77
  4. Step 4: Simplify right side
    1,654.40x = 1,386,589.32
  5. Step 5: Solve for x
    x = 1,386,589.32/1,654.40
  6. Step 6: Final answer
    x = 838.12

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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.