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Finding the Fourth Proportional to 1,604.81, 2,407 and 434.90

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Solution

The fourth proportional to 1,604.81, 2,407 and 434.90 is: 652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.81 : 2,407 = 434.90 : x
  2. Step 2: Convert to fraction form
    1,604.81/2,407 = 434.90/x
  3. Step 3: Cross multiply
    1,604.81x = 2,407 × 434.90
  4. Step 4: Simplify right side
    1,604.81x = 1,046,804.30
  5. Step 5: Solve for x
    x = 1,046,804.30/1,604.81
  6. Step 6: Final answer
    x = 652.29

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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.