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Finding the Fourth Proportional to 1,219.68, 1,829.61 and 526.20

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Solution

The fourth proportional to 1,219.68, 1,829.61 and 526.20 is: 789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.68 : 1,829.61 = 526.20 : x
  2. Step 2: Convert to fraction form
    1,219.68/1,829.61 = 526.20/x
  3. Step 3: Cross multiply
    1,219.68x = 1,829.61 × 526.20
  4. Step 4: Simplify right side
    1,219.68x = 962,740.78
  5. Step 5: Solve for x
    x = 962,740.78/1,219.68
  6. Step 6: Final answer
    x = 789.34

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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.