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Finding the Fourth Proportional to 1,122.62, 1,684.06 and 382.35

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Solution

The fourth proportional to 1,122.62, 1,684.06 and 382.35 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.62 : 1,684.06 = 382.35 : x
  2. Step 2: Convert to fraction form
    1,122.62/1,684.06 = 382.35/x
  3. Step 3: Cross multiply
    1,122.62x = 1,684.06 × 382.35
  4. Step 4: Simplify right side
    1,122.62x = 643,899.39
  5. Step 5: Solve for x
    x = 643,899.39/1,122.62
  6. Step 6: Final answer
    x = 573.57

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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.