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Finding the Fourth Proportional to 992.25, 1,488.47 and 415.17

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Solution

The fourth proportional to 992.25, 1,488.47 and 415.17 is: 622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.25 : 1,488.47 = 415.17 : x
  2. Step 2: Convert to fraction form
    992.25/1,488.47 = 415.17/x
  3. Step 3: Cross multiply
    992.25x = 1,488.47 × 415.17
  4. Step 4: Simplify right side
    992.25x = 617,966.01
  5. Step 5: Solve for x
    x = 617,966.01/992.25
  6. Step 6: Final answer
    x = 622.79

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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.