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Finding the Fourth Proportional to 1,335.51, 2,002.14 and 641.70

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Solution

The fourth proportional to 1,335.51, 2,002.14 and 641.70 is: 962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.51 : 2,002.14 = 641.70 : x
  2. Step 2: Convert to fraction form
    1,335.51/2,002.14 = 641.70/x
  3. Step 3: Cross multiply
    1,335.51x = 2,002.14 × 641.70
  4. Step 4: Simplify right side
    1,335.51x = 1,284,773.24
  5. Step 5: Solve for x
    x = 1,284,773.24/1,335.51
  6. Step 6: Final answer
    x = 962.01

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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.