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Finding the Fourth Proportional to 948.57, 1,423.12 and 676.40

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Solution

The fourth proportional to 948.57, 1,423.12 and 676.40 is: 1,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.57 : 1,423.12 = 676.40 : x
  2. Step 2: Convert to fraction form
    948.57/1,423.12 = 676.40/x
  3. Step 3: Cross multiply
    948.57x = 1,423.12 × 676.40
  4. Step 4: Simplify right side
    948.57x = 962,598.37
  5. Step 5: Solve for x
    x = 962,598.37/948.57
  6. Step 6: Final answer
    x = 1,014.79

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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.