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Finding the Fourth Proportional to 947.07, 1,305.32 and 651.96

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Solution

The fourth proportional to 947.07, 1,305.32 and 651.96 is: 898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,305.32 = 651.96 : x
  2. Step 2: Convert to fraction form
    947.07/1,305.32 = 651.96/x
  3. Step 3: Cross multiply
    947.07x = 1,305.32 × 651.96
  4. Step 4: Simplify right side
    947.07x = 851,013.17
  5. Step 5: Solve for x
    x = 851,013.17/947.07
  6. Step 6: Final answer
    x = 898.57

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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.