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Finding the Fourth Proportional to 996.08, 1,494.06 and 476.45

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Solution

The fourth proportional to 996.08, 1,494.06 and 476.45 is: 714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.08 : 1,494.06 = 476.45 : x
  2. Step 2: Convert to fraction form
    996.08/1,494.06 = 476.45/x
  3. Step 3: Cross multiply
    996.08x = 1,494.06 × 476.45
  4. Step 4: Simplify right side
    996.08x = 711,844.89
  5. Step 5: Solve for x
    x = 711,844.89/996.08
  6. Step 6: Final answer
    x = 714.65

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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.