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Finding the Fourth Proportional to 692.35, 1,037.00 and 545.09

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Solution

The fourth proportional to 692.35, 1,037.00 and 545.09 is: 816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.35 : 1,037.00 = 545.09 : x
  2. Step 2: Convert to fraction form
    692.35/1,037.00 = 545.09/x
  3. Step 3: Cross multiply
    692.35x = 1,037.00 × 545.09
  4. Step 4: Simplify right side
    692.35x = 565,254.51
  5. Step 5: Solve for x
    x = 565,254.51/692.35
  6. Step 6: Final answer
    x = 816.43

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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.