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Finding the Fourth Proportional to 996.48, 1,495.68 and 613.12

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Solution

The fourth proportional to 996.48, 1,495.68 and 613.12 is: 920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.48 : 1,495.68 = 613.12 : x
  2. Step 2: Convert to fraction form
    996.48/1,495.68 = 613.12/x
  3. Step 3: Cross multiply
    996.48x = 1,495.68 × 613.12
  4. Step 4: Simplify right side
    996.48x = 917,031.32
  5. Step 5: Solve for x
    x = 917,031.32/996.48
  6. Step 6: Final answer
    x = 920.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.