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Finding the Fourth Proportional to 1,221.34, 1,830.84 and 527.32

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Solution

The fourth proportional to 1,221.34, 1,830.84 and 527.32 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.34 : 1,830.84 = 527.32 : x
  2. Step 2: Convert to fraction form
    1,221.34/1,830.84 = 527.32/x
  3. Step 3: Cross multiply
    1,221.34x = 1,830.84 × 527.32
  4. Step 4: Simplify right side
    1,221.34x = 965,433.97
  5. Step 5: Solve for x
    x = 965,433.97/1,221.34
  6. Step 6: Final answer
    x = 790.47

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