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Finding the Fourth Proportional to 703, 974.29 and 692.20

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Solution

The fourth proportional to 703, 974.29 and 692.20 is: 959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703 : 974.29 = 692.20 : x
  2. Step 2: Convert to fraction form
    703/974.29 = 692.20/x
  3. Step 3: Cross multiply
    703x = 974.29 × 692.20
  4. Step 4: Simplify right side
    703x = 674,403.54
  5. Step 5: Solve for x
    x = 674,403.54/703
  6. Step 6: Final answer
    x = 959.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.