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Finding the Fourth Proportional to 692.35, 1,038.02 and 345.67

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Solution

The fourth proportional to 692.35, 1,038.02 and 345.67 is: 518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.35 : 1,038.02 = 345.67 : x
  2. Step 2: Convert to fraction form
    692.35/1,038.02 = 345.67/x
  3. Step 3: Cross multiply
    692.35x = 1,038.02 × 345.67
  4. Step 4: Simplify right side
    692.35x = 358,808.05
  5. Step 5: Solve for x
    x = 358,808.05/692.35
  6. Step 6: Final answer
    x = 518.25

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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.