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Finding the Fourth Proportional to 992.93, 1,369.10 and 712.26

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Solution

The fourth proportional to 992.93, 1,369.10 and 712.26 is: 982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.93 : 1,369.10 = 712.26 : x
  2. Step 2: Convert to fraction form
    992.93/1,369.10 = 712.26/x
  3. Step 3: Cross multiply
    992.93x = 1,369.10 × 712.26
  4. Step 4: Simplify right side
    992.93x = 975,156.95
  5. Step 5: Solve for x
    x = 975,156.95/992.93
  6. Step 6: Final answer
    x = 982.11

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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.