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Finding the Fourth Proportional to 936.50, 1,403.60 and 473.58

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Solution

The fourth proportional to 936.50, 1,403.60 and 473.58 is: 709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.50 : 1,403.60 = 473.58 : x
  2. Step 2: Convert to fraction form
    936.50/1,403.60 = 473.58/x
  3. Step 3: Cross multiply
    936.50x = 1,403.60 × 473.58
  4. Step 4: Simplify right side
    936.50x = 664,714.52
  5. Step 5: Solve for x
    x = 664,714.52/936.50
  6. Step 6: Final answer
    x = 709.79

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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.