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Finding the Fourth Proportional to 692.53, 1,038.98 and 400.21

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Solution

The fourth proportional to 692.53, 1,038.98 and 400.21 is: 600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.53 : 1,038.98 = 400.21 : x
  2. Step 2: Convert to fraction form
    692.53/1,038.98 = 400.21/x
  3. Step 3: Cross multiply
    692.53x = 1,038.98 × 400.21
  4. Step 4: Simplify right side
    692.53x = 415,810.19
  5. Step 5: Solve for x
    x = 415,810.19/692.53
  6. Step 6: Final answer
    x = 600.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.