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Finding the Fourth Proportional to 687.42, 948.71 and 512.46

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Solution

The fourth proportional to 687.42, 948.71 and 512.46 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.42 : 948.71 = 512.46 : x
  2. Step 2: Convert to fraction form
    687.42/948.71 = 512.46/x
  3. Step 3: Cross multiply
    687.42x = 948.71 × 512.46
  4. Step 4: Simplify right side
    687.42x = 486,177.21
  5. Step 5: Solve for x
    x = 486,177.21/687.42
  6. Step 6: Final answer
    x = 707.25

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