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Finding the Fourth Proportional to 825.75, 1,139.58 and 476.55

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Solution

The fourth proportional to 825.75, 1,139.58 and 476.55 is: 657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.75 : 1,139.58 = 476.55 : x
  2. Step 2: Convert to fraction form
    825.75/1,139.58 = 476.55/x
  3. Step 3: Cross multiply
    825.75x = 1,139.58 × 476.55
  4. Step 4: Simplify right side
    825.75x = 543,066.85
  5. Step 5: Solve for x
    x = 543,066.85/825.75
  6. Step 6: Final answer
    x = 657.66

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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.