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Finding the Fourth Proportional to 1,356.86, 2,034.86 and 690.06

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Solution

The fourth proportional to 1,356.86, 2,034.86 and 690.06 is: 1,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.86 : 2,034.86 = 690.06 : x
  2. Step 2: Convert to fraction form
    1,356.86/2,034.86 = 690.06/x
  3. Step 3: Cross multiply
    1,356.86x = 2,034.86 × 690.06
  4. Step 4: Simplify right side
    1,356.86x = 1,404,175.49
  5. Step 5: Solve for x
    x = 1,404,175.49/1,356.86
  6. Step 6: Final answer
    x = 1,034.87

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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.