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Finding the Fourth Proportional to 992.16, 1,486.86 and 553.62

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Solution

The fourth proportional to 992.16, 1,486.86 and 553.62 is: 829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.16 : 1,486.86 = 553.62 : x
  2. Step 2: Convert to fraction form
    992.16/1,486.86 = 553.62/x
  3. Step 3: Cross multiply
    992.16x = 1,486.86 × 553.62
  4. Step 4: Simplify right side
    992.16x = 823,155.43
  5. Step 5: Solve for x
    x = 823,155.43/992.16
  6. Step 6: Final answer
    x = 829.66

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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.