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Finding the Fourth Proportional to 869.41, 1,199.74 and 476.46

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Solution

The fourth proportional to 869.41, 1,199.74 and 476.46 is: 657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.41 : 1,199.74 = 476.46 : x
  2. Step 2: Convert to fraction form
    869.41/1,199.74 = 476.46/x
  3. Step 3: Cross multiply
    869.41x = 1,199.74 × 476.46
  4. Step 4: Simplify right side
    869.41x = 571,628.12
  5. Step 5: Solve for x
    x = 571,628.12/869.41
  6. Step 6: Final answer
    x = 657.49

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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.