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Finding the Fourth Proportional to 1,305.64, 1,956.26 and 646.64

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Solution

The fourth proportional to 1,305.64, 1,956.26 and 646.64 is: 968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.64 : 1,956.26 = 646.64 : x
  2. Step 2: Convert to fraction form
    1,305.64/1,956.26 = 646.64/x
  3. Step 3: Cross multiply
    1,305.64x = 1,956.26 × 646.64
  4. Step 4: Simplify right side
    1,305.64x = 1,264,982.95
  5. Step 5: Solve for x
    x = 1,264,982.95/1,305.64
  6. Step 6: Final answer
    x = 968.86

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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.