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Finding the Fourth Proportional to 686.88, 947.14 and 437.92

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Solution

The fourth proportional to 686.88, 947.14 and 437.92 is: 603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 947.14 = 437.92 : x
  2. Step 2: Convert to fraction form
    686.88/947.14 = 437.92/x
  3. Step 3: Cross multiply
    686.88x = 947.14 × 437.92
  4. Step 4: Simplify right side
    686.88x = 414,771.55
  5. Step 5: Solve for x
    x = 414,771.55/686.88
  6. Step 6: Final answer
    x = 603.85

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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.