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Finding the Fourth Proportional to 959.08, 1,330.27 and 920.20

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Solution

The fourth proportional to 959.08, 1,330.27 and 920.20 is: 1,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.08 : 1,330.27 = 920.20 : x
  2. Step 2: Convert to fraction form
    959.08/1,330.27 = 920.20/x
  3. Step 3: Cross multiply
    959.08x = 1,330.27 × 920.20
  4. Step 4: Simplify right side
    959.08x = 1,224,114.45
  5. Step 5: Solve for x
    x = 1,224,114.45/959.08
  6. Step 6: Final answer
    x = 1,276.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.