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Finding the Fourth Proportional to 1,335.94, 2,002.18 and 641.16

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Solution

The fourth proportional to 1,335.94, 2,002.18 and 641.16 is: 960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.94 : 2,002.18 = 641.16 : x
  2. Step 2: Convert to fraction form
    1,335.94/2,002.18 = 641.16/x
  3. Step 3: Cross multiply
    1,335.94x = 2,002.18 × 641.16
  4. Step 4: Simplify right side
    1,335.94x = 1,283,704.51
  5. Step 5: Solve for x
    x = 1,283,704.51/1,335.94
  6. Step 6: Final answer
    x = 960.90

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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.