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Finding the Fourth Proportional to 948.02, 1,421.36 and 447.52

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Solution

The fourth proportional to 948.02, 1,421.36 and 447.52 is: 670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.02 : 1,421.36 = 447.52 : x
  2. Step 2: Convert to fraction form
    948.02/1,421.36 = 447.52/x
  3. Step 3: Cross multiply
    948.02x = 1,421.36 × 447.52
  4. Step 4: Simplify right side
    948.02x = 636,087.03
  5. Step 5: Solve for x
    x = 636,087.03/948.02
  6. Step 6: Final answer
    x = 670.96

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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.