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Finding the Fourth Proportional to 992.52, 1,369.54 and 661.16

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Solution

The fourth proportional to 992.52, 1,369.54 and 661.16 is: 912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.52 : 1,369.54 = 661.16 : x
  2. Step 2: Convert to fraction form
    992.52/1,369.54 = 661.16/x
  3. Step 3: Cross multiply
    992.52x = 1,369.54 × 661.16
  4. Step 4: Simplify right side
    992.52x = 905,485.07
  5. Step 5: Solve for x
    x = 905,485.07/992.52
  6. Step 6: Final answer
    x = 912.31

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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.