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Finding the Fourth Proportional to 785.66, 1,176.70 and 375.09

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Solution

The fourth proportional to 785.66, 1,176.70 and 375.09 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.66 : 1,176.70 = 375.09 : x
  2. Step 2: Convert to fraction form
    785.66/1,176.70 = 375.09/x
  3. Step 3: Cross multiply
    785.66x = 1,176.70 × 375.09
  4. Step 4: Simplify right side
    785.66x = 441,364.52
  5. Step 5: Solve for x
    x = 441,364.52/785.66
  6. Step 6: Final answer
    x = 561.77

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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.