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Finding the Fourth Proportional to 820.47, 1,131.75 and 525.63

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Solution

The fourth proportional to 820.47, 1,131.75 and 525.63 is: 725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.47 : 1,131.75 = 525.63 : x
  2. Step 2: Convert to fraction form
    820.47/1,131.75 = 525.63/x
  3. Step 3: Cross multiply
    820.47x = 1,131.75 × 525.63
  4. Step 4: Simplify right side
    820.47x = 594,881.75
  5. Step 5: Solve for x
    x = 594,881.75/820.47
  6. Step 6: Final answer
    x = 725.05

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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.