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Finding the Fourth Proportional to 785.47, 1,178.42 and 395

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Solution

The fourth proportional to 785.47, 1,178.42 and 395 is: 592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.47 : 1,178.42 = 395 : x
  2. Step 2: Convert to fraction form
    785.47/1,178.42 = 395/x
  3. Step 3: Cross multiply
    785.47x = 1,178.42 × 395
  4. Step 4: Simplify right side
    785.47x = 465,475.90
  5. Step 5: Solve for x
    x = 465,475.90/785.47
  6. Step 6: Final answer
    x = 592.61

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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.