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Finding the Fourth Proportional to 687.18, 948.39 and 466.59

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Solution

The fourth proportional to 687.18, 948.39 and 466.59 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.18 : 948.39 = 466.59 : x
  2. Step 2: Convert to fraction form
    687.18/948.39 = 466.59/x
  3. Step 3: Cross multiply
    687.18x = 948.39 × 466.59
  4. Step 4: Simplify right side
    687.18x = 442,509.29
  5. Step 5: Solve for x
    x = 442,509.29/687.18
  6. Step 6: Final answer
    x = 643.95

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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.