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Finding the Fourth Proportional to 692.59, 1,039.07 and 282.01

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Solution

The fourth proportional to 692.59, 1,039.07 and 282.01 is: 423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.59 : 1,039.07 = 282.01 : x
  2. Step 2: Convert to fraction form
    692.59/1,039.07 = 282.01/x
  3. Step 3: Cross multiply
    692.59x = 1,039.07 × 282.01
  4. Step 4: Simplify right side
    692.59x = 293,024.12
  5. Step 5: Solve for x
    x = 293,024.12/692.59
  6. Step 6: Final answer
    x = 423.09

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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.