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Finding the Fourth Proportional to 786.11, 1,177.64 and 374.68

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Solution

The fourth proportional to 786.11, 1,177.64 and 374.68 is: 561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.11 : 1,177.64 = 374.68 : x
  2. Step 2: Convert to fraction form
    786.11/1,177.64 = 374.68/x
  3. Step 3: Cross multiply
    786.11x = 1,177.64 × 374.68
  4. Step 4: Simplify right side
    786.11x = 441,232.53
  5. Step 5: Solve for x
    x = 441,232.53/786.11
  6. Step 6: Final answer
    x = 561.29

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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.