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Finding the Fourth Proportional to 662.40, 992.40 and 559.20

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Solution

The fourth proportional to 662.40, 992.40 and 559.20 is: 837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 992.40 = 559.20 : x
  2. Step 2: Convert to fraction form
    662.40/992.40 = 559.20/x
  3. Step 3: Cross multiply
    662.40x = 992.40 × 559.20
  4. Step 4: Simplify right side
    662.40x = 554,950.08
  5. Step 5: Solve for x
    x = 554,950.08/662.40
  6. Step 6: Final answer
    x = 837.79

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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.