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Finding the Fourth Proportional to 692, 1,036.60 and 417.92

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Solution

The fourth proportional to 692, 1,036.60 and 417.92 is: 626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 1,036.60 = 417.92 : x
  2. Step 2: Convert to fraction form
    692/1,036.60 = 417.92/x
  3. Step 3: Cross multiply
    692x = 1,036.60 × 417.92
  4. Step 4: Simplify right side
    692x = 433,215.87
  5. Step 5: Solve for x
    x = 433,215.87/692
  6. Step 6: Final answer
    x = 626.03

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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.