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Finding the Fourth Proportional to 849.71, 1,172.64 and 476.77

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Solution

The fourth proportional to 849.71, 1,172.64 and 476.77 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.71 : 1,172.64 = 476.77 : x
  2. Step 2: Convert to fraction form
    849.71/1,172.64 = 476.77/x
  3. Step 3: Cross multiply
    849.71x = 1,172.64 × 476.77
  4. Step 4: Simplify right side
    849.71x = 559,079.57
  5. Step 5: Solve for x
    x = 559,079.57/849.71
  6. Step 6: Final answer
    x = 657.97

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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.