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Finding the Fourth Proportional to 920.53, 1,269.75 and 588.85

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Solution

The fourth proportional to 920.53, 1,269.75 and 588.85 is: 812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.53 : 1,269.75 = 588.85 : x
  2. Step 2: Convert to fraction form
    920.53/1,269.75 = 588.85/x
  3. Step 3: Cross multiply
    920.53x = 1,269.75 × 588.85
  4. Step 4: Simplify right side
    920.53x = 747,692.29
  5. Step 5: Solve for x
    x = 747,692.29/920.53
  6. Step 6: Final answer
    x = 812.24

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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.