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Finding the Fourth Proportional to 785.94, 1,178.08 and 265.48

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Solution

The fourth proportional to 785.94, 1,178.08 and 265.48 is: 397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.94 : 1,178.08 = 265.48 : x
  2. Step 2: Convert to fraction form
    785.94/1,178.08 = 265.48/x
  3. Step 3: Cross multiply
    785.94x = 1,178.08 × 265.48
  4. Step 4: Simplify right side
    785.94x = 312,756.68
  5. Step 5: Solve for x
    x = 312,756.68/785.94
  6. Step 6: Final answer
    x = 397.94

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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.