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Finding the Fourth Proportional to 1,375.16, 1,897.78 and 785.74

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Solution

The fourth proportional to 1,375.16, 1,897.78 and 785.74 is: 1,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.16 : 1,897.78 = 785.74 : x
  2. Step 2: Convert to fraction form
    1,375.16/1,897.78 = 785.74/x
  3. Step 3: Cross multiply
    1,375.16x = 1,897.78 × 785.74
  4. Step 4: Simplify right side
    1,375.16x = 1,491,161.66
  5. Step 5: Solve for x
    x = 1,491,161.66/1,375.16
  6. Step 6: Final answer
    x = 1,084.36

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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.