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Finding the Fourth Proportional to 692.40, 1,044.09 and 616.80

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Solution

The fourth proportional to 692.40, 1,044.09 and 616.80 is: 930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.40 : 1,044.09 = 616.80 : x
  2. Step 2: Convert to fraction form
    692.40/1,044.09 = 616.80/x
  3. Step 3: Cross multiply
    692.40x = 1,044.09 × 616.80
  4. Step 4: Simplify right side
    692.40x = 643,994.71
  5. Step 5: Solve for x
    x = 643,994.71/692.40
  6. Step 6: Final answer
    x = 930.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.