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Finding the Fourth Proportional to 692.07, 1,038.23 and 417.80

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Solution

The fourth proportional to 692.07, 1,038.23 and 417.80 is: 626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.07 : 1,038.23 = 417.80 : x
  2. Step 2: Convert to fraction form
    692.07/1,038.23 = 417.80/x
  3. Step 3: Cross multiply
    692.07x = 1,038.23 × 417.80
  4. Step 4: Simplify right side
    692.07x = 433,772.49
  5. Step 5: Solve for x
    x = 433,772.49/692.07
  6. Step 6: Final answer
    x = 626.78

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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.