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Finding the Fourth Proportional to 1,305.11, 1,800.97 and 715.64

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Solution

The fourth proportional to 1,305.11, 1,800.97 and 715.64 is: 987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.11 : 1,800.97 = 715.64 : x
  2. Step 2: Convert to fraction form
    1,305.11/1,800.97 = 715.64/x
  3. Step 3: Cross multiply
    1,305.11x = 1,800.97 × 715.64
  4. Step 4: Simplify right side
    1,305.11x = 1,288,835.38
  5. Step 5: Solve for x
    x = 1,288,835.38/1,305.11
  6. Step 6: Final answer
    x = 987.53

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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.