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Finding the Fourth Proportional to 849.65, 1,172.55 and 476.71

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Solution

The fourth proportional to 849.65, 1,172.55 and 476.71 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.65 : 1,172.55 = 476.71 : x
  2. Step 2: Convert to fraction form
    849.65/1,172.55 = 476.71/x
  3. Step 3: Cross multiply
    849.65x = 1,172.55 × 476.71
  4. Step 4: Simplify right side
    849.65x = 558,965.17
  5. Step 5: Solve for x
    x = 558,965.17/849.65
  6. Step 6: Final answer
    x = 657.88

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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.