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Finding the Fourth Proportional to 687.54, 949.35 and 463.68

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Solution

The fourth proportional to 687.54, 949.35 and 463.68 is: 640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.54 : 949.35 = 463.68 : x
  2. Step 2: Convert to fraction form
    687.54/949.35 = 463.68/x
  3. Step 3: Cross multiply
    687.54x = 949.35 × 463.68
  4. Step 4: Simplify right side
    687.54x = 440,194.61
  5. Step 5: Solve for x
    x = 440,194.61/687.54
  6. Step 6: Final answer
    x = 640.25

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1.5x scale

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.