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Finding the Fourth Proportional to 946.55, 1,305.64 and 651.30

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Solution

The fourth proportional to 946.55, 1,305.64 and 651.30 is: 898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.55 : 1,305.64 = 651.30 : x
  2. Step 2: Convert to fraction form
    946.55/1,305.64 = 651.30/x
  3. Step 3: Cross multiply
    946.55x = 1,305.64 × 651.30
  4. Step 4: Simplify right side
    946.55x = 850,361.70
  5. Step 5: Solve for x
    x = 850,361.70/946.55
  6. Step 6: Final answer
    x = 898.38

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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.