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Finding the Fourth Proportional to 692.98, 956.06 and 533.51

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Solution

The fourth proportional to 692.98, 956.06 and 533.51 is: 736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.98 : 956.06 = 533.51 : x
  2. Step 2: Convert to fraction form
    692.98/956.06 = 533.51/x
  3. Step 3: Cross multiply
    692.98x = 956.06 × 533.51
  4. Step 4: Simplify right side
    692.98x = 510,071.91
  5. Step 5: Solve for x
    x = 510,071.91/692.98
  6. Step 6: Final answer
    x = 736.06

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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.