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Finding the Fourth Proportional to 1,221.08, 1,829.85 and 527.57

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Solution

The fourth proportional to 1,221.08, 1,829.85 and 527.57 is: 790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.08 : 1,829.85 = 527.57 : x
  2. Step 2: Convert to fraction form
    1,221.08/1,829.85 = 527.57/x
  3. Step 3: Cross multiply
    1,221.08x = 1,829.85 × 527.57
  4. Step 4: Simplify right side
    1,221.08x = 965,373.96
  5. Step 5: Solve for x
    x = 965,373.96/1,221.08
  6. Step 6: Final answer
    x = 790.59

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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.