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Finding the Fourth Proportional to 992, 1,486 and 829.16

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Solution

The fourth proportional to 992, 1,486 and 829.16 is: 1,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    992 : 1,486 = 829.16 : x
  2. Step 2: Convert to fraction form
    992/1,486 = 829.16/x
  3. Step 3: Cross multiply
    992x = 1,486 × 829.16
  4. Step 4: Simplify right side
    992x = 1,232,131.76
  5. Step 5: Solve for x
    x = 1,232,131.76/992
  6. Step 6: Final answer
    x = 1,242.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.