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Finding the Fourth Proportional to 855.62, 1,180.70 and 477.50

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Solution

The fourth proportional to 855.62, 1,180.70 and 477.50 is: 658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.62 : 1,180.70 = 477.50 : x
  2. Step 2: Convert to fraction form
    855.62/1,180.70 = 477.50/x
  3. Step 3: Cross multiply
    855.62x = 1,180.70 × 477.50
  4. Step 4: Simplify right side
    855.62x = 563,784.25
  5. Step 5: Solve for x
    x = 563,784.25/855.62
  6. Step 6: Final answer
    x = 658.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.