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Finding the Fourth Proportional to 869.46, 1,199.87 and 476.50

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Solution

The fourth proportional to 869.46, 1,199.87 and 476.50 is: 657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.46 : 1,199.87 = 476.50 : x
  2. Step 2: Convert to fraction form
    869.46/1,199.87 = 476.50/x
  3. Step 3: Cross multiply
    869.46x = 1,199.87 × 476.50
  4. Step 4: Simplify right side
    869.46x = 571,738.06
  5. Step 5: Solve for x
    x = 571,738.06/869.46
  6. Step 6: Final answer
    x = 657.58

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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.