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Finding the Fourth Proportional to 1,164.55, 1,745.29 and 854.95

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Solution

The fourth proportional to 1,164.55, 1,745.29 and 854.95 is: 1,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.55 : 1,745.29 = 854.95 : x
  2. Step 2: Convert to fraction form
    1,164.55/1,745.29 = 854.95/x
  3. Step 3: Cross multiply
    1,164.55x = 1,745.29 × 854.95
  4. Step 4: Simplify right side
    1,164.55x = 1,492,135.69
  5. Step 5: Solve for x
    x = 1,492,135.69/1,164.55
  6. Step 6: Final answer
    x = 1,281.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.