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Finding the Fourth Proportional to 849.68, 1,172.54 and 471.57

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Solution

The fourth proportional to 849.68, 1,172.54 and 471.57 is: 650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.68 : 1,172.54 = 471.57 : x
  2. Step 2: Convert to fraction form
    849.68/1,172.54 = 471.57/x
  3. Step 3: Cross multiply
    849.68x = 1,172.54 × 471.57
  4. Step 4: Simplify right side
    849.68x = 552,926.47
  5. Step 5: Solve for x
    x = 552,926.47/849.68
  6. Step 6: Final answer
    x = 650.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.