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Finding the Fourth Proportional to 1,375.83, 1,898.50 and 786.25

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Solution

The fourth proportional to 1,375.83, 1,898.50 and 786.25 is: 1,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.83 : 1,898.50 = 786.25 : x
  2. Step 2: Convert to fraction form
    1,375.83/1,898.50 = 786.25/x
  3. Step 3: Cross multiply
    1,375.83x = 1,898.50 × 786.25
  4. Step 4: Simplify right side
    1,375.83x = 1,492,695.63
  5. Step 5: Solve for x
    x = 1,492,695.63/1,375.83
  6. Step 6: Final answer
    x = 1,084.94

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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.