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Finding the Fourth Proportional to 692.90, 1,036.89 and 556.82

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Solution

The fourth proportional to 692.90, 1,036.89 and 556.82 is: 833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.90 : 1,036.89 = 556.82 : x
  2. Step 2: Convert to fraction form
    692.90/1,036.89 = 556.82/x
  3. Step 3: Cross multiply
    692.90x = 1,036.89 × 556.82
  4. Step 4: Simplify right side
    692.90x = 577,361.09
  5. Step 5: Solve for x
    x = 577,361.09/692.90
  6. Step 6: Final answer
    x = 833.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.