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Finding the Fourth Proportional to 948.10, 1,423.98 and 840.82

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Solution

The fourth proportional to 948.10, 1,423.98 and 840.82 is: 1,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.10 : 1,423.98 = 840.82 : x
  2. Step 2: Convert to fraction form
    948.10/1,423.98 = 840.82/x
  3. Step 3: Cross multiply
    948.10x = 1,423.98 × 840.82
  4. Step 4: Simplify right side
    948.10x = 1,197,310.86
  5. Step 5: Solve for x
    x = 1,197,310.86/948.10
  6. Step 6: Final answer
    x = 1,262.85

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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.