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Finding the Fourth Proportional to 948.78, 1,421.17 and 485.15

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Solution

The fourth proportional to 948.78, 1,421.17 and 485.15 is: 726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.78 : 1,421.17 = 485.15 : x
  2. Step 2: Convert to fraction form
    948.78/1,421.17 = 485.15/x
  3. Step 3: Cross multiply
    948.78x = 1,421.17 × 485.15
  4. Step 4: Simplify right side
    948.78x = 689,472.31
  5. Step 5: Solve for x
    x = 689,472.31/948.78
  6. Step 6: Final answer
    x = 726.69

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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.