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Finding the Fourth Proportional to 1,375.79, 1,898.58 and 786.33

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Solution

The fourth proportional to 1,375.79, 1,898.58 and 786.33 is: 1,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.79 : 1,898.58 = 786.33 : x
  2. Step 2: Convert to fraction form
    1,375.79/1,898.58 = 786.33/x
  3. Step 3: Cross multiply
    1,375.79x = 1,898.58 × 786.33
  4. Step 4: Simplify right side
    1,375.79x = 1,492,910.41
  5. Step 5: Solve for x
    x = 1,492,910.41/1,375.79
  6. Step 6: Final answer
    x = 1,085.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.