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Finding the Fourth Proportional to 920.07, 1,269.09 and 698.52

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Solution

The fourth proportional to 920.07, 1,269.09 and 698.52 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.07 : 1,269.09 = 698.52 : x
  2. Step 2: Convert to fraction form
    920.07/1,269.09 = 698.52/x
  3. Step 3: Cross multiply
    920.07x = 1,269.09 × 698.52
  4. Step 4: Simplify right side
    920.07x = 886,484.75
  5. Step 5: Solve for x
    x = 886,484.75/920.07
  6. Step 6: Final answer
    x = 963.50

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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.