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Finding the Fourth Proportional to 1,326.82, 1,830.03 and 854.41

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Solution

The fourth proportional to 1,326.82, 1,830.03 and 854.41 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.82 : 1,830.03 = 854.41 : x
  2. Step 2: Convert to fraction form
    1,326.82/1,830.03 = 854.41/x
  3. Step 3: Cross multiply
    1,326.82x = 1,830.03 × 854.41
  4. Step 4: Simplify right side
    1,326.82x = 1,563,595.93
  5. Step 5: Solve for x
    x = 1,563,595.93/1,326.82
  6. Step 6: Final answer
    x = 1,178.45

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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.