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Finding the Fourth Proportional to 1,576.55, 2,365.08 and 480.82

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Solution

The fourth proportional to 1,576.55, 2,365.08 and 480.82 is: 721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.55 : 2,365.08 = 480.82 : x
  2. Step 2: Convert to fraction form
    1,576.55/2,365.08 = 480.82/x
  3. Step 3: Cross multiply
    1,576.55x = 2,365.08 × 480.82
  4. Step 4: Simplify right side
    1,576.55x = 1,137,177.77
  5. Step 5: Solve for x
    x = 1,137,177.77/1,576.55
  6. Step 6: Final answer
    x = 721.31

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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.