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Finding the Fourth Proportional to 1,163.13, 1,605.32 and 697.38

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Solution

The fourth proportional to 1,163.13, 1,605.32 and 697.38 is: 962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.13 : 1,605.32 = 697.38 : x
  2. Step 2: Convert to fraction form
    1,163.13/1,605.32 = 697.38/x
  3. Step 3: Cross multiply
    1,163.13x = 1,605.32 × 697.38
  4. Step 4: Simplify right side
    1,163.13x = 1,119,506.55
  5. Step 5: Solve for x
    x = 1,119,506.55/1,163.13
  6. Step 6: Final answer
    x = 962.50

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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.