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Finding the Fourth Proportional to 992.28, 1,488.54 and 415.08

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Solution

The fourth proportional to 992.28, 1,488.54 and 415.08 is: 622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.28 : 1,488.54 = 415.08 : x
  2. Step 2: Convert to fraction form
    992.28/1,488.54 = 415.08/x
  3. Step 3: Cross multiply
    992.28x = 1,488.54 × 415.08
  4. Step 4: Simplify right side
    992.28x = 617,863.18
  5. Step 5: Solve for x
    x = 617,863.18/992.28
  6. Step 6: Final answer
    x = 622.67

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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.