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Finding the Fourth Proportional to 1,683.04, 2,524.16 and 642.66

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Solution

The fourth proportional to 1,683.04, 2,524.16 and 642.66 is: 963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.04 : 2,524.16 = 642.66 : x
  2. Step 2: Convert to fraction form
    1,683.04/2,524.16 = 642.66/x
  3. Step 3: Cross multiply
    1,683.04x = 2,524.16 × 642.66
  4. Step 4: Simplify right side
    1,683.04x = 1,622,164.04
  5. Step 5: Solve for x
    x = 1,622,164.04/1,683.04
  6. Step 6: Final answer
    x = 963.83

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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.