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Finding the Fourth Proportional to 935.80, 1,402.26 and 570.49

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Solution

The fourth proportional to 935.80, 1,402.26 and 570.49 is: 854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.80 : 1,402.26 = 570.49 : x
  2. Step 2: Convert to fraction form
    935.80/1,402.26 = 570.49/x
  3. Step 3: Cross multiply
    935.80x = 1,402.26 × 570.49
  4. Step 4: Simplify right side
    935.80x = 799,975.31
  5. Step 5: Solve for x
    x = 799,975.31/935.80
  6. Step 6: Final answer
    x = 854.86

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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.