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Finding the Fourth Proportional to 785.44, 1,177.54 and 455.87

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Solution

The fourth proportional to 785.44, 1,177.54 and 455.87 is: 683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.44 : 1,177.54 = 455.87 : x
  2. Step 2: Convert to fraction form
    785.44/1,177.54 = 455.87/x
  3. Step 3: Cross multiply
    785.44x = 1,177.54 × 455.87
  4. Step 4: Simplify right side
    785.44x = 536,800.41
  5. Step 5: Solve for x
    x = 536,800.41/785.44
  6. Step 6: Final answer
    x = 683.44

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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.