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Finding the Fourth Proportional to 1,068.29, 1,602.42 and 418.57

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Solution

The fourth proportional to 1,068.29, 1,602.42 and 418.57 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.29 : 1,602.42 = 418.57 : x
  2. Step 2: Convert to fraction form
    1,068.29/1,602.42 = 418.57/x
  3. Step 3: Cross multiply
    1,068.29x = 1,602.42 × 418.57
  4. Step 4: Simplify right side
    1,068.29x = 670,724.94
  5. Step 5: Solve for x
    x = 670,724.94/1,068.29
  6. Step 6: Final answer
    x = 627.85

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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.