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Finding the Fourth Proportional to 685.67, 946.89 and 576.01

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Solution

The fourth proportional to 685.67, 946.89 and 576.01 is: 795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.67 : 946.89 = 576.01 : x
  2. Step 2: Convert to fraction form
    685.67/946.89 = 576.01/x
  3. Step 3: Cross multiply
    685.67x = 946.89 × 576.01
  4. Step 4: Simplify right side
    685.67x = 545,419.29
  5. Step 5: Solve for x
    x = 545,419.29/685.67
  6. Step 6: Final answer
    x = 795.46

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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.