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Finding the Fourth Proportional to 1,363.50, 1,882.47 and 1,068.06

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Solution

The fourth proportional to 1,363.50, 1,882.47 and 1,068.06 is: 1,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.50 : 1,882.47 = 1,068.06 : x
  2. Step 2: Convert to fraction form
    1,363.50/1,882.47 = 1,068.06/x
  3. Step 3: Cross multiply
    1,363.50x = 1,882.47 × 1,068.06
  4. Step 4: Simplify right side
    1,363.50x = 2,010,590.91
  5. Step 5: Solve for x
    x = 2,010,590.91/1,363.50
  6. Step 6: Final answer
    x = 1,474.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.