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Finding the Fourth Proportional to 1,621.76, 2,432.84 and 526.23

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Solution

The fourth proportional to 1,621.76, 2,432.84 and 526.23 is: 789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.76 : 2,432.84 = 526.23 : x
  2. Step 2: Convert to fraction form
    1,621.76/2,432.84 = 526.23/x
  3. Step 3: Cross multiply
    1,621.76x = 2,432.84 × 526.23
  4. Step 4: Simplify right side
    1,621.76x = 1,280,230.76
  5. Step 5: Solve for x
    x = 1,280,230.76/1,621.76
  6. Step 6: Final answer
    x = 789.41

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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.