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Finding the Fourth Proportional to 800.74, 1,104.69 and 506.30

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Solution

The fourth proportional to 800.74, 1,104.69 and 506.30 is: 698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.74 : 1,104.69 = 506.30 : x
  2. Step 2: Convert to fraction form
    800.74/1,104.69 = 506.30/x
  3. Step 3: Cross multiply
    800.74x = 1,104.69 × 506.30
  4. Step 4: Simplify right side
    800.74x = 559,307.31
  5. Step 5: Solve for x
    x = 559,307.31/800.74
  6. Step 6: Final answer
    x = 698.49

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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.