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Finding the Fourth Proportional to 956.20, 1,431.60 and 848.20

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Solution

The fourth proportional to 956.20, 1,431.60 and 848.20 is: 1,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.20 : 1,431.60 = 848.20 : x
  2. Step 2: Convert to fraction form
    956.20/1,431.60 = 848.20/x
  3. Step 3: Cross multiply
    956.20x = 1,431.60 × 848.20
  4. Step 4: Simplify right side
    956.20x = 1,214,283.12
  5. Step 5: Solve for x
    x = 1,214,283.12/956.20
  6. Step 6: Final answer
    x = 1,269.90

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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.