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Finding the Fourth Proportional to 687.34, 948.28 and 465.94

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Solution

The fourth proportional to 687.34, 948.28 and 465.94 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.34 : 948.28 = 465.94 : x
  2. Step 2: Convert to fraction form
    687.34/948.28 = 465.94/x
  3. Step 3: Cross multiply
    687.34x = 948.28 × 465.94
  4. Step 4: Simplify right side
    687.34x = 441,841.58
  5. Step 5: Solve for x
    x = 441,841.58/687.34
  6. Step 6: Final answer
    x = 642.83

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Double scale
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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.