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Finding the Fourth Proportional to 947.64, 1,418.16 and 653.76

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Solution

The fourth proportional to 947.64, 1,418.16 and 653.76 is: 978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.64 : 1,418.16 = 653.76 : x
  2. Step 2: Convert to fraction form
    947.64/1,418.16 = 653.76/x
  3. Step 3: Cross multiply
    947.64x = 1,418.16 × 653.76
  4. Step 4: Simplify right side
    947.64x = 927,136.28
  5. Step 5: Solve for x
    x = 927,136.28/947.64
  6. Step 6: Final answer
    x = 978.36

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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.