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Finding the Fourth Proportional to 1,375.85, 1,898.61 and 786.35

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Solution

The fourth proportional to 1,375.85, 1,898.61 and 786.35 is: 1,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.85 : 1,898.61 = 786.35 : x
  2. Step 2: Convert to fraction form
    1,375.85/1,898.61 = 786.35/x
  3. Step 3: Cross multiply
    1,375.85x = 1,898.61 × 786.35
  4. Step 4: Simplify right side
    1,375.85x = 1,492,971.97
  5. Step 5: Solve for x
    x = 1,492,971.97/1,375.85
  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.