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Finding the Fourth Proportional to 1,375.60, 1,898.46 and 786.40

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Solution

The fourth proportional to 1,375.60, 1,898.46 and 786.40 is: 1,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.60 : 1,898.46 = 786.40 : x
  2. Step 2: Convert to fraction form
    1,375.60/1,898.46 = 786.40/x
  3. Step 3: Cross multiply
    1,375.60x = 1,898.46 × 786.40
  4. Step 4: Simplify right side
    1,375.60x = 1,492,948.94
  5. Step 5: Solve for x
    x = 1,492,948.94/1,375.60
  6. Step 6: Final answer
    x = 1,085.31

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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.