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Finding the Fourth Proportional to 1,163.15, 1,605.09 and 715.76

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Solution

The fourth proportional to 1,163.15, 1,605.09 and 715.76 is: 987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.15 : 1,605.09 = 715.76 : x
  2. Step 2: Convert to fraction form
    1,163.15/1,605.09 = 715.76/x
  3. Step 3: Cross multiply
    1,163.15x = 1,605.09 × 715.76
  4. Step 4: Simplify right side
    1,163.15x = 1,148,859.22
  5. Step 5: Solve for x
    x = 1,148,859.22/1,163.15
  6. Step 6: Final answer
    x = 987.71

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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.