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Finding the Fourth Proportional to 1,440.74, 2,160.74 and 516.20

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Solution

The fourth proportional to 1,440.74, 2,160.74 and 516.20 is: 774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.74 : 2,160.74 = 516.20 : x
  2. Step 2: Convert to fraction form
    1,440.74/2,160.74 = 516.20/x
  3. Step 3: Cross multiply
    1,440.74x = 2,160.74 × 516.20
  4. Step 4: Simplify right side
    1,440.74x = 1,115,364.47
  5. Step 5: Solve for x
    x = 1,115,364.47/1,440.74
  6. Step 6: Final answer
    x = 774.16

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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.