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Finding the Fourth Proportional to 692.76, 955.62 and 456.72

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Solution

The fourth proportional to 692.76, 955.62 and 456.72 is: 630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.76 : 955.62 = 456.72 : x
  2. Step 2: Convert to fraction form
    692.76/955.62 = 456.72/x
  3. Step 3: Cross multiply
    692.76x = 955.62 × 456.72
  4. Step 4: Simplify right side
    692.76x = 436,450.77
  5. Step 5: Solve for x
    x = 436,450.77/692.76
  6. Step 6: Final answer
    x = 630.02

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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.