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Finding the Fourth Proportional to 692.24, 1,038.35 and 400.18

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Solution

The fourth proportional to 692.24, 1,038.35 and 400.18 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 1,038.35 = 400.18 : x
  2. Step 2: Convert to fraction form
    692.24/1,038.35 = 400.18/x
  3. Step 3: Cross multiply
    692.24x = 1,038.35 × 400.18
  4. Step 4: Simplify right side
    692.24x = 415,519.71
  5. Step 5: Solve for x
    x = 415,519.71/692.24
  6. Step 6: Final answer
    x = 600.26

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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.