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Finding the Fourth Proportional to 653.94, 981 and 437.76

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Solution

The fourth proportional to 653.94, 981 and 437.76 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 981 = 437.76 : x
  2. Step 2: Convert to fraction form
    653.94/981 = 437.76/x
  3. Step 3: Cross multiply
    653.94x = 981 × 437.76
  4. Step 4: Simplify right side
    653.94x = 429,442.56
  5. Step 5: Solve for x
    x = 429,442.56/653.94
  6. Step 6: Final answer
    x = 656.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.