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Finding the Fourth Proportional to 690.14, 1,034.62 and 279.06

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Solution

The fourth proportional to 690.14, 1,034.62 and 279.06 is: 418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.14 : 1,034.62 = 279.06 : x
  2. Step 2: Convert to fraction form
    690.14/1,034.62 = 279.06/x
  3. Step 3: Cross multiply
    690.14x = 1,034.62 × 279.06
  4. Step 4: Simplify right side
    690.14x = 288,721.06
  5. Step 5: Solve for x
    x = 288,721.06/690.14
  6. Step 6: Final answer
    x = 418.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.