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Finding the Fourth Proportional to 784.75, 1,177.13 and 442.75

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Solution

The fourth proportional to 784.75, 1,177.13 and 442.75 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.75 : 1,177.13 = 442.75 : x
  2. Step 2: Convert to fraction form
    784.75/1,177.13 = 442.75/x
  3. Step 3: Cross multiply
    784.75x = 1,177.13 × 442.75
  4. Step 4: Simplify right side
    784.75x = 521,172.09
  5. Step 5: Solve for x
    x = 521,172.09/784.75
  6. Step 6: Final answer
    x = 664.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.