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Finding the Fourth Proportional to 1,385.04, 1,911.69 and 854.69

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Solution

The fourth proportional to 1,385.04, 1,911.69 and 854.69 is: 1,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.04 : 1,911.69 = 854.69 : x
  2. Step 2: Convert to fraction form
    1,385.04/1,911.69 = 854.69/x
  3. Step 3: Cross multiply
    1,385.04x = 1,911.69 × 854.69
  4. Step 4: Simplify right side
    1,385.04x = 1,633,907.11
  5. Step 5: Solve for x
    x = 1,633,907.11/1,385.04
  6. Step 6: Final answer
    x = 1,179.68

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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.