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Finding the Fourth Proportional to 946.76, 1,304.09 and 666.51

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Solution

The fourth proportional to 946.76, 1,304.09 and 666.51 is: 918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,304.09 = 666.51 : x
  2. Step 2: Convert to fraction form
    946.76/1,304.09 = 666.51/x
  3. Step 3: Cross multiply
    946.76x = 1,304.09 × 666.51
  4. Step 4: Simplify right side
    946.76x = 869,194.54
  5. Step 5: Solve for x
    x = 869,194.54/946.76
  6. Step 6: Final answer
    x = 918.07

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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.