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Finding the Fourth Proportional to 1,374.94, 1,897.30 and 785.36

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Solution

The fourth proportional to 1,374.94, 1,897.30 and 785.36 is: 1,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.94 : 1,897.30 = 785.36 : x
  2. Step 2: Convert to fraction form
    1,374.94/1,897.30 = 785.36/x
  3. Step 3: Cross multiply
    1,374.94x = 1,897.30 × 785.36
  4. Step 4: Simplify right side
    1,374.94x = 1,490,063.53
  5. Step 5: Solve for x
    x = 1,490,063.53/1,374.94
  6. Step 6: Final answer
    x = 1,083.73

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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.