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Finding the Fourth Proportional to 950.42, 1,424.40 and 539.45

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Solution

The fourth proportional to 950.42, 1,424.40 and 539.45 is: 808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.42 : 1,424.40 = 539.45 : x
  2. Step 2: Convert to fraction form
    950.42/1,424.40 = 539.45/x
  3. Step 3: Cross multiply
    950.42x = 1,424.40 × 539.45
  4. Step 4: Simplify right side
    950.42x = 768,385.46
  5. Step 5: Solve for x
    x = 768,385.46/950.42
  6. Step 6: Final answer
    x = 808.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.