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Finding the Fourth Proportional to 920.13, 1,269.77 and 506.13

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Solution

The fourth proportional to 920.13, 1,269.77 and 506.13 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.13 : 1,269.77 = 506.13 : x
  2. Step 2: Convert to fraction form
    920.13/1,269.77 = 506.13/x
  3. Step 3: Cross multiply
    920.13x = 1,269.77 × 506.13
  4. Step 4: Simplify right side
    920.13x = 642,668.69
  5. Step 5: Solve for x
    x = 642,668.69/920.13
  6. Step 6: Final answer
    x = 698.45

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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.