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Finding the Fourth Proportional to 785.06, 1,177.23 and 374.70

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Solution

The fourth proportional to 785.06, 1,177.23 and 374.70 is: 561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.06 : 1,177.23 = 374.70 : x
  2. Step 2: Convert to fraction form
    785.06/1,177.23 = 374.70/x
  3. Step 3: Cross multiply
    785.06x = 1,177.23 × 374.70
  4. Step 4: Simplify right side
    785.06x = 441,108.08
  5. Step 5: Solve for x
    x = 441,108.08/785.06
  6. Step 6: Final answer
    x = 561.88

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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.