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Finding the Fourth Proportional to 849.74, 1,172.60 and 476.76

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Solution

The fourth proportional to 849.74, 1,172.60 and 476.76 is: 657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.74 : 1,172.60 = 476.76 : x
  2. Step 2: Convert to fraction form
    849.74/1,172.60 = 476.76/x
  3. Step 3: Cross multiply
    849.74x = 1,172.60 × 476.76
  4. Step 4: Simplify right side
    849.74x = 559,048.78
  5. Step 5: Solve for x
    x = 559,048.78/849.74
  6. Step 6: Final answer
    x = 657.91

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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.