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Finding the Fourth Proportional to 1,129.29, 1,692.30 and 717.39

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Solution

The fourth proportional to 1,129.29, 1,692.30 and 717.39 is: 1,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.29 : 1,692.30 = 717.39 : x
  2. Step 2: Convert to fraction form
    1,129.29/1,692.30 = 717.39/x
  3. Step 3: Cross multiply
    1,129.29x = 1,692.30 × 717.39
  4. Step 4: Simplify right side
    1,129.29x = 1,214,039.10
  5. Step 5: Solve for x
    x = 1,214,039.10/1,129.29
  6. Step 6: Final answer
    x = 1,075.05

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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.