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Finding the Fourth Proportional to 792.57, 1,187.06 and 382.00

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Solution

The fourth proportional to 792.57, 1,187.06 and 382.00 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.57 : 1,187.06 = 382.00 : x
  2. Step 2: Convert to fraction form
    792.57/1,187.06 = 382.00/x
  3. Step 3: Cross multiply
    792.57x = 1,187.06 × 382.00
  4. Step 4: Simplify right side
    792.57x = 453,452.04
  5. Step 5: Solve for x
    x = 453,452.04/792.57
  6. Step 6: Final answer
    x = 572.13

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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.