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Finding the Fourth Proportional to 687.52, 948.72 and 388.81

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Solution

The fourth proportional to 687.52, 948.72 and 388.81 is: 536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.52 : 948.72 = 388.81 : x
  2. Step 2: Convert to fraction form
    687.52/948.72 = 388.81/x
  3. Step 3: Cross multiply
    687.52x = 948.72 × 388.81
  4. Step 4: Simplify right side
    687.52x = 368,871.82
  5. Step 5: Solve for x
    x = 368,871.82/687.52
  6. Step 6: Final answer
    x = 536.53

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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.