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Finding the Fourth Proportional to 1,604.34, 2,405.70 and 508.41

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Solution

The fourth proportional to 1,604.34, 2,405.70 and 508.41 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.34 : 2,405.70 = 508.41 : x
  2. Step 2: Convert to fraction form
    1,604.34/2,405.70 = 508.41/x
  3. Step 3: Cross multiply
    1,604.34x = 2,405.70 × 508.41
  4. Step 4: Simplify right side
    1,604.34x = 1,223,081.94
  5. Step 5: Solve for x
    x = 1,223,081.94/1,604.34
  6. Step 6: Final answer
    x = 762.36

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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.