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Finding the Fourth Proportional to 1,576.01, 2,363.94 and 651.30

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Solution

The fourth proportional to 1,576.01, 2,363.94 and 651.30 is: 976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.01 : 2,363.94 = 651.30 : x
  2. Step 2: Convert to fraction form
    1,576.01/2,363.94 = 651.30/x
  3. Step 3: Cross multiply
    1,576.01x = 2,363.94 × 651.30
  4. Step 4: Simplify right side
    1,576.01x = 1,539,634.12
  5. Step 5: Solve for x
    x = 1,539,634.12/1,576.01
  6. Step 6: Final answer
    x = 976.92

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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.