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Finding the Fourth Proportional to 686.45, 947.43 and 437.85

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Solution

The fourth proportional to 686.45, 947.43 and 437.85 is: 604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.45 : 947.43 = 437.85 : x
  2. Step 2: Convert to fraction form
    686.45/947.43 = 437.85/x
  3. Step 3: Cross multiply
    686.45x = 947.43 × 437.85
  4. Step 4: Simplify right side
    686.45x = 414,832.23
  5. Step 5: Solve for x
    x = 414,832.23/686.45
  6. Step 6: Final answer
    x = 604.31

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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.