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Finding the Fourth Proportional to 1,002.35, 1,383 and 719.66

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Solution

The fourth proportional to 1,002.35, 1,383 and 719.66 is: 992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.35 : 1,383 = 719.66 : x
  2. Step 2: Convert to fraction form
    1,002.35/1,383 = 719.66/x
  3. Step 3: Cross multiply
    1,002.35x = 1,383 × 719.66
  4. Step 4: Simplify right side
    1,002.35x = 995,282.87
  5. Step 5: Solve for x
    x = 995,282.87/1,002.35
  6. Step 6: Final answer
    x = 992.95

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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.