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Finding the Fourth Proportional to 692, 1,033.16 and 619.04

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Solution

The fourth proportional to 692, 1,033.16 and 619.04 is: 924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 1,033.16 = 619.04 : x
  2. Step 2: Convert to fraction form
    692/1,033.16 = 619.04/x
  3. Step 3: Cross multiply
    692x = 1,033.16 × 619.04
  4. Step 4: Simplify right side
    692x = 639,567.37
  5. Step 5: Solve for x
    x = 639,567.37/692
  6. Step 6: Final answer
    x = 924.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.