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Finding the Fourth Proportional to 1,680.38, 2,520.59 and 526.13

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Solution

The fourth proportional to 1,680.38, 2,520.59 and 526.13 is: 789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.38 : 2,520.59 = 526.13 : x
  2. Step 2: Convert to fraction form
    1,680.38/2,520.59 = 526.13/x
  3. Step 3: Cross multiply
    1,680.38x = 2,520.59 × 526.13
  4. Step 4: Simplify right side
    1,680.38x = 1,326,142.78
  5. Step 5: Solve for x
    x = 1,326,142.78/1,680.38
  6. Step 6: Final answer
    x = 789.19

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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.