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Finding the Fourth Proportional to 992.24, 1,488.42 and 289.47

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Solution

The fourth proportional to 992.24, 1,488.42 and 289.47 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.24 : 1,488.42 = 289.47 : x
  2. Step 2: Convert to fraction form
    992.24/1,488.42 = 289.47/x
  3. Step 3: Cross multiply
    992.24x = 1,488.42 × 289.47
  4. Step 4: Simplify right side
    992.24x = 430,852.94
  5. Step 5: Solve for x
    x = 430,852.94/992.24
  6. Step 6: Final answer
    x = 434.22

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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.