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Finding the Fourth Proportional to 1,305.38, 1,955.10 and 656.30

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Solution

The fourth proportional to 1,305.38, 1,955.10 and 656.30 is: 982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.38 : 1,955.10 = 656.30 : x
  2. Step 2: Convert to fraction form
    1,305.38/1,955.10 = 656.30/x
  3. Step 3: Cross multiply
    1,305.38x = 1,955.10 × 656.30
  4. Step 4: Simplify right side
    1,305.38x = 1,283,132.13
  5. Step 5: Solve for x
    x = 1,283,132.13/1,305.38
  6. Step 6: Final answer
    x = 982.96

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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.