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Finding the Fourth Proportional to 948.42, 1,421.82 and 537.75

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Solution

The fourth proportional to 948.42, 1,421.82 and 537.75 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.42 : 1,421.82 = 537.75 : x
  2. Step 2: Convert to fraction form
    948.42/1,421.82 = 537.75/x
  3. Step 3: Cross multiply
    948.42x = 1,421.82 × 537.75
  4. Step 4: Simplify right side
    948.42x = 764,583.71
  5. Step 5: Solve for x
    x = 764,583.71/948.42
  6. Step 6: Final answer
    x = 806.17

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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.