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Finding the Fourth Proportional to 1,395.50, 1,925.79 and 774.62

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Solution

The fourth proportional to 1,395.50, 1,925.79 and 774.62 is: 1,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.50 : 1,925.79 = 774.62 : x
  2. Step 2: Convert to fraction form
    1,395.50/1,925.79 = 774.62/x
  3. Step 3: Cross multiply
    1,395.50x = 1,925.79 × 774.62
  4. Step 4: Simplify right side
    1,395.50x = 1,491,755.45
  5. Step 5: Solve for x
    x = 1,491,755.45/1,395.50
  6. Step 6: Final answer
    x = 1,068.98

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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.