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Finding the Fourth Proportional to 936.83, 1,402.41 and 570.44

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Solution

The fourth proportional to 936.83, 1,402.41 and 570.44 is: 853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.83 : 1,402.41 = 570.44 : x
  2. Step 2: Convert to fraction form
    936.83/1,402.41 = 570.44/x
  3. Step 3: Cross multiply
    936.83x = 1,402.41 × 570.44
  4. Step 4: Simplify right side
    936.83x = 799,990.76
  5. Step 5: Solve for x
    x = 799,990.76/936.83
  6. Step 6: Final answer
    x = 853.93

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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.