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Finding the Fourth Proportional to 1,612.68, 2,417.48 and 516.35

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Solution

The fourth proportional to 1,612.68, 2,417.48 and 516.35 is: 774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.68 : 2,417.48 = 516.35 : x
  2. Step 2: Convert to fraction form
    1,612.68/2,417.48 = 516.35/x
  3. Step 3: Cross multiply
    1,612.68x = 2,417.48 × 516.35
  4. Step 4: Simplify right side
    1,612.68x = 1,248,265.80
  5. Step 5: Solve for x
    x = 1,248,265.80/1,612.68
  6. Step 6: Final answer
    x = 774.03

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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.