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Finding the Fourth Proportional to 784.62, 1,177.20 and 345.74

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Solution

The fourth proportional to 784.62, 1,177.20 and 345.74 is: 518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.62 : 1,177.20 = 345.74 : x
  2. Step 2: Convert to fraction form
    784.62/1,177.20 = 345.74/x
  3. Step 3: Cross multiply
    784.62x = 1,177.20 × 345.74
  4. Step 4: Simplify right side
    784.62x = 406,999.24
  5. Step 5: Solve for x
    x = 406,999.24/784.62
  6. Step 6: Final answer
    x = 518.72

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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.