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Finding the Fourth Proportional to 692.53, 955.58 and 412.75

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Solution

The fourth proportional to 692.53, 955.58 and 412.75 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.53 : 955.58 = 412.75 : x
  2. Step 2: Convert to fraction form
    692.53/955.58 = 412.75/x
  3. Step 3: Cross multiply
    692.53x = 955.58 × 412.75
  4. Step 4: Simplify right side
    692.53x = 394,415.65
  5. Step 5: Solve for x
    x = 394,415.65/692.53
  6. Step 6: Final answer
    x = 569.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.