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Finding the Fourth Proportional to 849.51, 1,172.34 and 476.57

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Solution

The fourth proportional to 849.51, 1,172.34 and 476.57 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.51 : 1,172.34 = 476.57 : x
  2. Step 2: Convert to fraction form
    849.51/1,172.34 = 476.57/x
  3. Step 3: Cross multiply
    849.51x = 1,172.34 × 476.57
  4. Step 4: Simplify right side
    849.51x = 558,702.07
  5. Step 5: Solve for x
    x = 558,702.07/849.51
  6. Step 6: Final answer
    x = 657.68

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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.