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Finding the Fourth Proportional to 996.16, 1,495.76 and 947.36

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Solution

The fourth proportional to 996.16, 1,495.76 and 947.36 is: 1,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.16 : 1,495.76 = 947.36 : x
  2. Step 2: Convert to fraction form
    996.16/1,495.76 = 947.36/x
  3. Step 3: Cross multiply
    996.16x = 1,495.76 × 947.36
  4. Step 4: Simplify right side
    996.16x = 1,417,023.19
  5. Step 5: Solve for x
    x = 1,417,023.19/996.16
  6. Step 6: Final answer
    x = 1,422.49

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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.