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Finding the Fourth Proportional to 692.93, 954.29 and 677.81

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Solution

The fourth proportional to 692.93, 954.29 and 677.81 is: 933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 954.29 = 677.81 : x
  2. Step 2: Convert to fraction form
    692.93/954.29 = 677.81/x
  3. Step 3: Cross multiply
    692.93x = 954.29 × 677.81
  4. Step 4: Simplify right side
    692.93x = 646,824.23
  5. Step 5: Solve for x
    x = 646,824.23/692.93
  6. Step 6: Final answer
    x = 933.47

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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.