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Finding the Fourth Proportional to 685.16, 946.42 and 554.68

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Solution

The fourth proportional to 685.16, 946.42 and 554.68 is: 766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.16 : 946.42 = 554.68 : x
  2. Step 2: Convert to fraction form
    685.16/946.42 = 554.68/x
  3. Step 3: Cross multiply
    685.16x = 946.42 × 554.68
  4. Step 4: Simplify right side
    685.16x = 524,960.25
  5. Step 5: Solve for x
    x = 524,960.25/685.16
  6. Step 6: Final answer
    x = 766.19

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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.