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Finding the Fourth Proportional to 1,092.04, 1,506.67 and 619.90

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Solution

The fourth proportional to 1,092.04, 1,506.67 and 619.90 is: 855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.04 : 1,506.67 = 619.90 : x
  2. Step 2: Convert to fraction form
    1,092.04/1,506.67 = 619.90/x
  3. Step 3: Cross multiply
    1,092.04x = 1,506.67 × 619.90
  4. Step 4: Simplify right side
    1,092.04x = 933,977.20
  5. Step 5: Solve for x
    x = 933,977.20/1,092.04
  6. Step 6: Final answer
    x = 855.26

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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.