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Finding the Fourth Proportional to 782.48, 1,173.92 and 372.08

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Solution

The fourth proportional to 782.48, 1,173.92 and 372.08 is: 558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.48 : 1,173.92 = 372.08 : x
  2. Step 2: Convert to fraction form
    782.48/1,173.92 = 372.08/x
  3. Step 3: Cross multiply
    782.48x = 1,173.92 × 372.08
  4. Step 4: Simplify right side
    782.48x = 436,784.42
  5. Step 5: Solve for x
    x = 436,784.42/782.48
  6. Step 6: Final answer
    x = 558.21

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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.