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Finding the Fourth Proportional to 829.78, 1,145.25 and 581.47

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Solution

The fourth proportional to 829.78, 1,145.25 and 581.47 is: 802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,145.25 = 581.47 : x
  2. Step 2: Convert to fraction form
    829.78/1,145.25 = 581.47/x
  3. Step 3: Cross multiply
    829.78x = 1,145.25 × 581.47
  4. Step 4: Simplify right side
    829.78x = 665,929.95
  5. Step 5: Solve for x
    x = 665,929.95/829.78
  6. Step 6: Final answer
    x = 802.54

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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.