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Finding the Fourth Proportional to 992.76, 1,489.90 and 416.04

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Solution

The fourth proportional to 992.76, 1,489.90 and 416.04 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.76 : 1,489.90 = 416.04 : x
  2. Step 2: Convert to fraction form
    992.76/1,489.90 = 416.04/x
  3. Step 3: Cross multiply
    992.76x = 1,489.90 × 416.04
  4. Step 4: Simplify right side
    992.76x = 619,858.00
  5. Step 5: Solve for x
    x = 619,858.00/992.76
  6. Step 6: Final answer
    x = 624.38

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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.