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Finding the Fourth Proportional to 1,185.32, 1,778.38 and 527.60

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Solution

The fourth proportional to 1,185.32, 1,778.38 and 527.60 is: 791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.32 : 1,778.38 = 527.60 : x
  2. Step 2: Convert to fraction form
    1,185.32/1,778.38 = 527.60/x
  3. Step 3: Cross multiply
    1,185.32x = 1,778.38 × 527.60
  4. Step 4: Simplify right side
    1,185.32x = 938,263.08
  5. Step 5: Solve for x
    x = 938,263.08/1,185.32
  6. Step 6: Final answer
    x = 791.57

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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.