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Finding the Fourth Proportional to 920.09, 1,269.57 and 588.47

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Solution

The fourth proportional to 920.09, 1,269.57 and 588.47 is: 811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.09 : 1,269.57 = 588.47 : x
  2. Step 2: Convert to fraction form
    920.09/1,269.57 = 588.47/x
  3. Step 3: Cross multiply
    920.09x = 1,269.57 × 588.47
  4. Step 4: Simplify right side
    920.09x = 747,099.72
  5. Step 5: Solve for x
    x = 747,099.72/920.09
  6. Step 6: Final answer
    x = 811.98

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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.