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Finding the Fourth Proportional to 685.64, 943.80 and 519.45

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Solution

The fourth proportional to 685.64, 943.80 and 519.45 is: 715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.64 : 943.80 = 519.45 : x
  2. Step 2: Convert to fraction form
    685.64/943.80 = 519.45/x
  3. Step 3: Cross multiply
    685.64x = 943.80 × 519.45
  4. Step 4: Simplify right side
    685.64x = 490,256.91
  5. Step 5: Solve for x
    x = 490,256.91/685.64
  6. Step 6: Final answer
    x = 715.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.