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Finding the Fourth Proportional to 1,004.95, 1,508.94 and 820.68

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Solution

The fourth proportional to 1,004.95, 1,508.94 and 820.68 is: 1,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.95 : 1,508.94 = 820.68 : x
  2. Step 2: Convert to fraction form
    1,004.95/1,508.94 = 820.68/x
  3. Step 3: Cross multiply
    1,004.95x = 1,508.94 × 820.68
  4. Step 4: Simplify right side
    1,004.95x = 1,238,356.88
  5. Step 5: Solve for x
    x = 1,238,356.88/1,004.95
  6. Step 6: Final answer
    x = 1,232.26

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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.