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Finding the Fourth Proportional to 686.17, 947.09 and 437.70

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Solution

The fourth proportional to 686.17, 947.09 and 437.70 is: 604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.17 : 947.09 = 437.70 : x
  2. Step 2: Convert to fraction form
    686.17/947.09 = 437.70/x
  3. Step 3: Cross multiply
    686.17x = 947.09 × 437.70
  4. Step 4: Simplify right side
    686.17x = 414,545.94
  5. Step 5: Solve for x
    x = 414,545.94/686.17
  6. Step 6: Final answer
    x = 604.14

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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.