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Finding the Fourth Proportional to 1,219.57, 1,829.04 and 526.48

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Solution

The fourth proportional to 1,219.57, 1,829.04 and 526.48 is: 789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.57 : 1,829.04 = 526.48 : x
  2. Step 2: Convert to fraction form
    1,219.57/1,829.04 = 526.48/x
  3. Step 3: Cross multiply
    1,219.57x = 1,829.04 × 526.48
  4. Step 4: Simplify right side
    1,219.57x = 962,952.98
  5. Step 5: Solve for x
    x = 962,952.98/1,219.57
  6. Step 6: Final answer
    x = 789.58

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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.