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Finding the Fourth Proportional to 1,684.91, 2,527.50 and 514.81

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Solution

The fourth proportional to 1,684.91, 2,527.50 and 514.81 is: 772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.91 : 2,527.50 = 514.81 : x
  2. Step 2: Convert to fraction form
    1,684.91/2,527.50 = 514.81/x
  3. Step 3: Cross multiply
    1,684.91x = 2,527.50 × 514.81
  4. Step 4: Simplify right side
    1,684.91x = 1,301,182.28
  5. Step 5: Solve for x
    x = 1,301,182.28/1,684.91
  6. Step 6: Final answer
    x = 772.26

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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.