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Finding the Fourth Proportional to 849.68, 1,172.42 and 476.68

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Solution

The fourth proportional to 849.68, 1,172.42 and 476.68 is: 657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.68 : 1,172.42 = 476.68 : x
  2. Step 2: Convert to fraction form
    849.68/1,172.42 = 476.68/x
  3. Step 3: Cross multiply
    849.68x = 1,172.42 × 476.68
  4. Step 4: Simplify right side
    849.68x = 558,869.17
  5. Step 5: Solve for x
    x = 558,869.17/849.68
  6. Step 6: Final answer
    x = 657.74

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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.