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Finding the Fourth Proportional to 686.97, 948.02 and 407.34

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Solution

The fourth proportional to 686.97, 948.02 and 407.34 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.97 : 948.02 = 407.34 : x
  2. Step 2: Convert to fraction form
    686.97/948.02 = 407.34/x
  3. Step 3: Cross multiply
    686.97x = 948.02 × 407.34
  4. Step 4: Simplify right side
    686.97x = 386,171.04
  5. Step 5: Solve for x
    x = 386,171.04/686.97
  6. Step 6: Final answer
    x = 562.14

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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.