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Finding the Fourth Proportional to 941.75, 1,412.56 and 292.47

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Solution

The fourth proportional to 941.75, 1,412.56 and 292.47 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.75 : 1,412.56 = 292.47 : x
  2. Step 2: Convert to fraction form
    941.75/1,412.56 = 292.47/x
  3. Step 3: Cross multiply
    941.75x = 1,412.56 × 292.47
  4. Step 4: Simplify right side
    941.75x = 413,130.69
  5. Step 5: Solve for x
    x = 413,130.69/941.75
  6. Step 6: Final answer
    x = 438.68

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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.