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Finding the Fourth Proportional to 692.09, 1,038.41 and 322.08

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Solution

The fourth proportional to 692.09, 1,038.41 and 322.08 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 1,038.41 = 322.08 : x
  2. Step 2: Convert to fraction form
    692.09/1,038.41 = 322.08/x
  3. Step 3: Cross multiply
    692.09x = 1,038.41 × 322.08
  4. Step 4: Simplify right side
    692.09x = 334,451.09
  5. Step 5: Solve for x
    x = 334,451.09/692.09
  6. Step 6: Final answer
    x = 483.25

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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.