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Finding the Fourth Proportional to 842.24, 1,262.72 and 476.80

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Solution

The fourth proportional to 842.24, 1,262.72 and 476.80 is: 714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.24 : 1,262.72 = 476.80 : x
  2. Step 2: Convert to fraction form
    842.24/1,262.72 = 476.80/x
  3. Step 3: Cross multiply
    842.24x = 1,262.72 × 476.80
  4. Step 4: Simplify right side
    842.24x = 602,064.90
  5. Step 5: Solve for x
    x = 602,064.90/842.24
  6. Step 6: Final answer
    x = 714.84

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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.