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Finding the Fourth Proportional to 1,604.52, 2,406.90 and 508.97

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Solution

The fourth proportional to 1,604.52, 2,406.90 and 508.97 is: 763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.52 : 2,406.90 = 508.97 : x
  2. Step 2: Convert to fraction form
    1,604.52/2,406.90 = 508.97/x
  3. Step 3: Cross multiply
    1,604.52x = 2,406.90 × 508.97
  4. Step 4: Simplify right side
    1,604.52x = 1,225,025.31
  5. Step 5: Solve for x
    x = 1,225,025.31/1,604.52
  6. Step 6: Final answer
    x = 763.49

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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.