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Finding the Fourth Proportional to 1,674.48, 2,511.44 and 520.14

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Solution

The fourth proportional to 1,674.48, 2,511.44 and 520.14 is: 780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.48 : 2,511.44 = 520.14 : x
  2. Step 2: Convert to fraction form
    1,674.48/2,511.44 = 520.14/x
  3. Step 3: Cross multiply
    1,674.48x = 2,511.44 × 520.14
  4. Step 4: Simplify right side
    1,674.48x = 1,306,300.40
  5. Step 5: Solve for x
    x = 1,306,300.40/1,674.48
  6. Step 6: Final answer
    x = 780.12

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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.