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Finding the Fourth Proportional to 1,674.38, 2,511.59 and 520.13

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Solution

The fourth proportional to 1,674.38, 2,511.59 and 520.13 is: 780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.38 : 2,511.59 = 520.13 : x
  2. Step 2: Convert to fraction form
    1,674.38/2,511.59 = 520.13/x
  3. Step 3: Cross multiply
    1,674.38x = 2,511.59 × 520.13
  4. Step 4: Simplify right side
    1,674.38x = 1,306,353.31
  5. Step 5: Solve for x
    x = 1,306,353.31/1,674.38
  6. Step 6: Final answer
    x = 780.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.