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Finding the Fourth Proportional to 946, 1,304.64 and 614.11

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Solution

The fourth proportional to 946, 1,304.64 and 614.11 is: 846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    946 : 1,304.64 = 614.11 : x
  2. Step 2: Convert to fraction form
    946/1,304.64 = 614.11/x
  3. Step 3: Cross multiply
    946x = 1,304.64 × 614.11
  4. Step 4: Simplify right side
    946x = 801,192.47
  5. Step 5: Solve for x
    x = 801,192.47/946
  6. Step 6: Final answer
    x = 846.93

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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.