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Finding the Fourth Proportional to 1,513.85, 2,272.59 and 692.33

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Solution

The fourth proportional to 1,513.85, 2,272.59 and 692.33 is: 1,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.85 : 2,272.59 = 692.33 : x
  2. Step 2: Convert to fraction form
    1,513.85/2,272.59 = 692.33/x
  3. Step 3: Cross multiply
    1,513.85x = 2,272.59 × 692.33
  4. Step 4: Simplify right side
    1,513.85x = 1,573,370.87
  5. Step 5: Solve for x
    x = 1,573,370.87/1,513.85
  6. Step 6: Final answer
    x = 1,039.32

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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.