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Finding the Fourth Proportional to 785.33, 1,177.57 and 322.97

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Solution

The fourth proportional to 785.33, 1,177.57 and 322.97 is: 484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.33 : 1,177.57 = 322.97 : x
  2. Step 2: Convert to fraction form
    785.33/1,177.57 = 322.97/x
  3. Step 3: Cross multiply
    785.33x = 1,177.57 × 322.97
  4. Step 4: Simplify right side
    785.33x = 380,319.78
  5. Step 5: Solve for x
    x = 380,319.78/785.33
  6. Step 6: Final answer
    x = 484.28

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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.