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Finding the Fourth Proportional to 1,576.54, 2,365.89 and 807.58

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Solution

The fourth proportional to 1,576.54, 2,365.89 and 807.58 is: 1,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.54 : 2,365.89 = 807.58 : x
  2. Step 2: Convert to fraction form
    1,576.54/2,365.89 = 807.58/x
  3. Step 3: Cross multiply
    1,576.54x = 2,365.89 × 807.58
  4. Step 4: Simplify right side
    1,576.54x = 1,910,645.45
  5. Step 5: Solve for x
    x = 1,910,645.45/1,576.54
  6. Step 6: Final answer
    x = 1,211.92

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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.