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Finding the Fourth Proportional to 996.16, 1,493.02 and 707

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Solution

The fourth proportional to 996.16, 1,493.02 and 707 is: 1,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.16 : 1,493.02 = 707 : x
  2. Step 2: Convert to fraction form
    996.16/1,493.02 = 707/x
  3. Step 3: Cross multiply
    996.16x = 1,493.02 × 707
  4. Step 4: Simplify right side
    996.16x = 1,055,565.14
  5. Step 5: Solve for x
    x = 1,055,565.14/996.16
  6. Step 6: Final answer
    x = 1,059.63

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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.