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Finding the Fourth Proportional to 1,402.30, 1,933.50 and 960.58

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Solution

The fourth proportional to 1,402.30, 1,933.50 and 960.58 is: 1,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.30 : 1,933.50 = 960.58 : x
  2. Step 2: Convert to fraction form
    1,402.30/1,933.50 = 960.58/x
  3. Step 3: Cross multiply
    1,402.30x = 1,933.50 × 960.58
  4. Step 4: Simplify right side
    1,402.30x = 1,857,281.43
  5. Step 5: Solve for x
    x = 1,857,281.43/1,402.30
  6. Step 6: Final answer
    x = 1,324.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.