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Finding the Fourth Proportional to 687.84, 949.18 and 540.84

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Solution

The fourth proportional to 687.84, 949.18 and 540.84 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 949.18 = 540.84 : x
  2. Step 2: Convert to fraction form
    687.84/949.18 = 540.84/x
  3. Step 3: Cross multiply
    687.84x = 949.18 × 540.84
  4. Step 4: Simplify right side
    687.84x = 513,354.51
  5. Step 5: Solve for x
    x = 513,354.51/687.84
  6. Step 6: Final answer
    x = 746.33

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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.